Matrix Models, Topological Strings, and Supersymmetric Gauge Theories

Abstract

We show that B-model topological strings on local Calabi-Yau threefolds are large N duals of matrix models, which in the planar limit naturally give rise to special geometry. These matrix models directly compute F-terms in an associated N=1 supersymmetric gauge theory, obtained by deforming N=2 theories by a superpotential term that can be directly identified with the potential of the matrix model. Moreover by tuning some of the parameters of the geometry in a double scaling limit we recover (p,q) conformal minimal models coupled to 2d gravity, thereby relating non-critical string theories to type II superstrings on Calabi-Yau backgrounds.

22 pages, minor corrections

References in corpus (5)

• A Large N Duality via a Geometric Transition
• A Geometric Unification of Dualities
• Geometric Transition, Large N Dualities and MQCD Dynamics
• Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge Theories
• Geometric Transition versus Cascading Solution

Cited by in corpus (387)

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• Counting chiral primaries in N=1 d=4 superconformal field theories
• Topological Strings and Integrable Hierarchies
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• All genus correlation functions for the hermitian 1-matrix model
• Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
• Open string amplitudes and large order behavior in topological string theory
• On AGT relation in the case of U(3)
• Matrix Model as a Mirror of Chern-Simons Theory
• Hermitean matrix model free energy: Feynman graph technique for all genera
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Gravitational corrections in supersymmetric gauge theory and matrix models
• Matrix Models, Geometric Engineering and Elliptic Genera
• Quantum Geometry of Refined Topological Strings
• Free energy topological expansion for the 2-matrix model
• Phases of N=1 Supersymmetric Gauge Theories and Matrices
• Soft matrix models and Chern-Simons partition functions
• Higher rank Wilson loops from a matrix model
• Perturbative Analysis of Gauged Matrix Models
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
• Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c=1 Matrix Models
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Conformal blocks as Dotsenko-Fateev Integral Discriminants
• Supersymmetry Breaking from a Calabi-Yau Singularity
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Nekrasov Functions from Exact BS Periods: the Case of SU(N)
• Holomorphic anomaly and matrix models
• On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
• Instanton counting, Macdonald function and the moduli space of D-branes
• Instantons and Merons in Matrix Models
• Generation of Matrix Models by W-operators
• Holomorphic Anomaly in Gauge Theories and Matrix Models
• Matrix model version of AGT conjecture and generalized Selberg integrals
• Matrix eigenvalue model: Feynman graph technique for all genera
• M5-branes, toric diagrams and gauge theory duality
• BGWM as Second Constituent of Complex Matrix Model
• Fermions from Half-BPS Supergravity
• Surface Defects and Resolvents
• Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local CP2
• Comments on Noncommutative Superspace
• Chiral Rings and Phases of Supersymmetric Gauge Theories
• Saltatory de Sitter String Vacua
• Solving Virasoro Constraints in Matrix Models
• Seiberg-Witten theory as a Fermi gas
• S-duality of the Leigh-Strassler Deformation via Matrix Models
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
• Exact Superpotentials for Theories with Flavors via a Matrix Integral
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• A holomorphic and background independent partition function for matrix models and topological strings
• Matrix models for $\beta$-ensembles from Nekrasov partition functions
• Quantum parameter space and double scaling limits in N=1 super Yang-Mills theory
• Geometric Transitions, Flops and Non-Kahler Manifolds: I
• Ward identities and combinatorics of rainbow tensor models
• Multi-Instantons and Multi-Cuts
• Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation
• Local string models of soft supersymmetry breaking
• Holomorphic matrix models
• M-Theory of Matrix Models
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations
• Dynamical Supersymmetry Breaking in Standard-like Models with Intersecting D6-branes
• Unified description of correlators in non-Gaussian phases of Hermitean matrix model
• Seiberg-Witten theory and matrix models
• Quantization of Integrable Systems and a 2d/4d Duality
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• An A_r threesome: Matrix models, 2d CFTs and 4d N=2 gauge theories
• The matrix model version of AGT conjecture and CIV-DV prepotential
• In the Realm of the Geometric Transitions
• Exact Superpotentials from Matrix Models
• Effective matter superpotentials from Wishart random matrices
• The Spectral Curve of the Lens Space Matrix Model
• Holomorphicity and Modularity in Seiberg-Witten Theories with Matter
• The uses of the refined matrix model recursion
• Phase Structure of a Brane/Anti-Brane System at Large N
• Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
• Analytic and Numerical Bootstrap for One-Matrix Model and "Unsolvable" Two-Matrix Model
• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• Exact superpotentials in N=1 theories with flavor and their matrix model formulation
• A new continuum limit of matrix models
• Heterotic twistor-string theory
• Perturbative Computation of Glueball Superpotentials for SO(N) and USp(N)
• Konishi anomaly and N=1 effective superpotentials from matrix models
• Phase transitions in q-deformed 2d Yang-Mills theory and topological strings
• On the Matter of the Dijkgraaf--Vafa Conjecture
• Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in 4d N=1 from 6d N=(2,0)
• On "Dotsenko-Fateev" representation of the toric conformal blocks
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• SO(N) Superpotential, Seiberg-Witten Curves and Loop Equations
• Comments on Effective Superpotentials via Matrix Models
• (Anti)symmetric matter and superpotentials from IIB orientifolds
• On Gauge Theory and Topological String in Nekrasov-Shatashvili Limit
• Matrix Models vs. Matrix Integrals
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• Genus one correlation to multi-cut matrix model solutions
• Holomorphic Anomaly and Quantum Mechanics
• On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models
• Resolvents and Seiberg-Witten representation for Gaussian beta-ensemble
• Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula
• Metastable Vacua, Geometrical Engineering and MQCD Transitions
• Baryons, Boundaries and Matrix Models
• On Instantons and Zero Modes of N=1/2 SYM Theory
• On matrix models and their $q$-deformations
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• 2D String Theory as Normal Matrix Model
• RG-Whitham dynamics and complex Hamiltonian systems
• A slow review of the AGT correspondence
• Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model
• The Wave Function Behavior of the Open Topological String Partition Function on the Conifold
• Discrete and oscillatory Matrix Models in Chern-Simons theory
• Is the Standard Model saved asymptotically by conformal symmetry?
• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
• Nonsupersymmetric Brane/Antibrane Configurations in Type IIA and M Theory
• Gluino-Condensate (CIV-DV) Prepotential from its Whitham-Time Derivatives
• Conifolds and Geometric Transitions
• Finite N from Resurgent Large N
• Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
• Interacting systems and wormholes
• Non-Perturbative Topological Strings And Conformal Blocks
• An elliptic Virasoro symmetry in 6d
• Geometric transitions and integrable systems
• Blowup Equations for Refined Topological Strings
• Direct Integration and Non-Perturbative Effects in Matrix Models
• Exact 2-point function in Hermitian matrix model
• Topological open strings on orbifolds
• Holomorphic matrix integrals
• Chern-Simons Theory, 2d Yang-Mills, and Lie Algebra Wanderers
• A universe field theory for JT gravity
• Large N Duality, Lens Spaces and the Chern-Simons Matrix Model
• On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
• Orientifolds and the Refined Topological String
• Properties of Chiral Wilson Loops
• Current Correlators for General Gauge Mediation
• Superstring Orientifolds with Torsion: O5 Orientifolds of Torus Fibrations and their Massless Spectra
• Adding flavor to Dijkgraaf-Vafa
• Exact Quantization Conditions, Toric Calabi-Yau and Nonperturbative Topological String
• RG Cascades in Hyperbolic Quiver Gauge Theories
• Effective Superpotentials via Konishi Anomaly
• Phases of N=1 Supersymmetric Gauge Theories with Flavors
• Massless Flavor in Geometry and Matrix Models
• Quantum parameter space in super Yang-Mills, II
• Loop equations, matrix models, and N=1 supersymmetric gauge theories
• Exact multi-instantons in topological string theory
• On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
• Seiberg Duality in Matrix Models II
• New Insights into Superintegrability from Unitary Matrix Models
• Gauge/String Duality in Confining Theories
• Non-Perturbative Quantum Geometry II
• Matrix model from N = 2 orbifold partition function
• Multi-Trace Superpotentials vs. Matrix Models
• Derivation of the Konishi anomaly relation from Dijkgraaf-Vafa with (Bi-)fundamental matters
• $\mathcal{N}=1$ Theories and a Geometric Master Field
• Super Yang-Mills With Flavors From Large N_f Matrix Models
• Matrix models with hard walls: Geometry and solutions
• Wall Crossing As Seen By Matrix Models
• Wilson loops in unitary matrix models at finite $N$
• Superfield theory and supermatrix model
• Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models
• Non-perturbative effects and wall-crossing from topological strings
• On Unitary/Hermitian Duality in Matrix Models
• Metastable Vacua and Complex Deformations
• The Volume Conjecture and Topological Strings
• Constructing Gauge Theory Geometries from Matrix Models
• Branches of N=1 Vacua and Argyres-Douglas Points
• Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
• Cubic curves from matrix models and generalized Konishi anomalies
• Effective superpotentials for B-branes in Landau-Ginzburg models
• Supereigenvalue Model and Dijkgraaf-Vafa Proposal
• Orientifolds, Unoriented Instantons and Localization
• Structures in the Gauge/Gravity Duality Cascade
• Exact Mesonic Vacua From Matrix Models
• A 3d-3d appetizer
• A prediction for bubbling geometries
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Branched Matrix Models and the Scales of Supersymmetric Gauge Theories
• Matrix Model Description of Laughlin Hall States
• Whitham Prepotential and Superpotential
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
• Supersymmetric Gauge Theories with Flavors and Matrix Models
• An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
• Determination of S-curves with applications to the theory of nonhermitian orthogonal polynomials
• A Note on effective N=1 Super Yang-Mills Theories versus Lattice Results
• N=1 Gauge Theory with Flavor from Fluxes
• Nonperturbative Superpotentials and Compactification to Three Dimensions
• Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories
• Spectral Form Factor in Non-Gaussian Random Matrix Theories
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Quantum curves and conformal field theory
• N=2 Quiver Gauge Model and Partial Supersymmetry Breaking
• Geometrically Induced Phase Transitions at Large N
• Conifold geometries, topological strings and multi-matrix models
• Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories
• Superintegrability as the hidden origin of Nekrasov calculus
• From effective actions to the background geometry
• Chern-Simons Matrix Models and Unoriented Strings
• Non-compact Topological Branes on Conifold
• Bubbling Calabi-Yau geometry from matrix models
• Note on Matrix Model with Massless Flavors
• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• Chiral field theories from conifolds
• ε-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model
• Refined matrix models from BPS counting
• Towards a Theory of Emergence for the Physical Sciences
• Universal Correlators from Geometry
• The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
• Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories
• Planar Gravitational Corrections For Supersymmetric Gauge Theories
• Chiral field theories, Konishi anomalies and matrix models
• Supersymmetric SO(N)/Sp(N) Gauge Theory from Matrix Model:Exact Mesonic Vacua
• Comment on integrability in Dijkgraaf-Vafa beta-ensembles
• Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems
• The Holomorphic Tension of Vortices
• New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation
• Special geometry of local Calabi-Yau manifolds and superpotentials from holomorphic matrix models
• The Chiral Ring and the Periods of the Resolvent
• On gauge/string correspondence and mirror symmetry
• Generalized Yukawa couplings and Matrix Models
• Deformation of Super Yang-Mills Theories in R-R 3-form Background
• Explicit factorization of Seiberg-Witten curves with matter from random matrix models
• Matrix Models, Complex Geometry and Integrable Systems. I
• Notes On The S-Matrix Of Bosonic And Topological Non-Critical Strings
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model
• Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry II
• Extended Supersymmetric Moduli Space and a SUSY/Non-SUSY Duality
• Phases of N=1 USp(2N_c) Gauge Theories with Flavors
• Challenges of beta-deformation
• Entanglement entropy and edge modes in topological string theory II: The dual gauge theory story
• On Equivalence of two Hurwitz Matrix Models
• The Off-shell M5-brane and Non-Perturbative Gauge Theory
• D-brane instantons and matrix models
• Tensorial generalization of characters
• Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
• Geometric Transitions on non-Kaehler Manifolds
• Effective Superpotentials for SO/Sp with Flavor from Matrix Models
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Effective Field Theory Islands from Perturbative and Nonperturbative Four-Graviton Amplitudes
• Challenges of Matrix Models
• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• The Whitham Deformation of the Dijkgraaf-Vafa Theory
• Light Nonabelian Monopoles and Generalized r-Vacua in Supersymmetric Gauge Theories
• Matrix Model Description of Baryonic Deformations
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• SO(N) Reformulated Link Invariants from Topological Strings
• Surface defects on E-string from 5-brane webs
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
• Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories
• Phases of N=1 SO(N_c) Gauge Theories with Flavors
• Partial Breaking of N=2 Supersymmetry and Decoupling Limit of Nambu-Goldstone Fermion in U(N) Gauge Model
• Giant gravitons in twisted holography
• Hartle-Hawking state and its factorization in 3d gravity
• Exact N=2 Supergravity Solutions With Polarized Branes
• Two-Dimensional Gauge Theory and Matrix Model
• Loop equations and topological recursion for the arbitrary-$\beta$ two-matrix model
• Matrix Models
• Matrix Models, Argyres-Douglas singularities and double scaling limits
• Exact Superpotentials, Theories with Flavor and Confining Vacua
• Veneziano-Yankielowicz Superpotential Terms in N=1 SUSY Gauge Theories
• Multiple phases and meromorphic deformations of unitary matrix models
• Non-Critical Superstrings from Four-Dimensional Gauge Theory
• On Nonperturbative Exactness of Konishi Anomaly and the Dijkgraaf-Vafa Conjecture
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• Chiral Rings of Deconstructive [SU(n_c)]^N Quivers
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Topological B-model and $\hat{c}=1$ String Theory
• Comments on Quiver Gauge Theories and Matrix Models
• Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
• Composite Representation Invariants and Unoriented Topological String Amplitudes
• Wall-crossing, open BPS counting and matrix models
• ABCD of Beta Ensembles and Topological Strings
• Nonabelian Confinement near Nontrivial Conformal Vacua
• Finiteness of Flux Vacua from Geometric Transitions
• Check-Operators and Quantum Spectral Curves
• The Kontsevich Connection on the Moduli Space of FZZT Liouville Branes
• On Chebyshev Wells: Periods, Deformations, and Resurgence
• Limit shape phase transitions: a merger of arctic circles
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• Double Scaling Limits in Gauge Theories and Matrix Models
• Consistency conditions in the chiral ring of super Yang-Mills theories
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• Large N gauge theories and topological cigars
• Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua
• Towards a diagrammatic derivation of the Veneziano-Yankielowicz-Taylor superpotential
• Note on Seiberg Duality in Matrix Model
• N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model
• N=1* in 5 dimensions: Dijkgraaf-Vafa meets Polchinski-Strassler
• Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry
• Determinant Formulas for Matrix Model Free Energy
• Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model
• Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD
• Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2
• Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models
• Remarks on Phase Transitions in Matrix Models and N=1 Supersymmetric Gauge Theory
• Geometric regularizations and dual conifold transitions
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• The Disc Amplitude of the Dijkgraaf-Vafa Theory:1/N Expansion vs Complex Curve Analysis
• On supersymmetry breaking and the Dijkgraaf-Vafa conjecture
• Improved matrix-model calculation of the N=2 prepotential
• The holomorphic anomaly for open string moduli
• Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry
• Quiver Gauge Theory and Extended Electric-magnetic Duality
• Quivers via anomaly chains
• Double Scaling Limits and Twisted Non-Critical Superstrings
• Unitary matrix with a Penner-like potential also yields N_f=2
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Holographic RG Flows and Universal Structures on the Coulomb Branch of N=2 Supersymmetric Large n Gauge Theory
• N=1 G_2 SYM theory and Compactification to Three Dimensions
• Prepotential and Instanton Corrections in N=2 Supersymmetric SU(N_1)xSU(N_2) Yang Mills Theories
• Note on a duality of topological branes
• Puzzles for Matrix Models of Chiral Field Theories
• Instanton Calculus and Loop Operator in Supersymmetric Gauge Theory
• Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
• FQHE and $t{t}^{\ast }$ geometry
• An Exact Relation for N=1 Orientifold Field Theories with Arbitrary Superpotential
• D Branes and Phases on String Worldsheet
• On Effective Superpotentials and Compactification to Three Dimensions
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• Another Leigh-Strassler deformation through the Matrix model
• Localization on the D-brane, two-dimensional gauge theory and matrix models
• Baryon as Impurity for Phase Transition in String Landscape
• Solving matrix models using holomorphy
• Remarks on the analytic structure of supersymmetric effective actions
• Chiral Rings, Anomalies and Electric-Magnetic Duality
• SU(2)xU(1) non-anticommutative N=2 supersymmetric gauge theory
• Bloch electrons on honeycomb lattice and toric Calabi-Yau geometry
• On Exact Superpotentials, Free Energies and Matrix Models
• Permutations of Massive Vacua
• Large N instantons from topological strings
• Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model
• Dijkgraaf-Vafa conjecture and beta-deformed matrix models
• Matrix Model and Stationary Problem in Toda Chain
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models
• A Flow in the Forest
• More on N=1 Matrix Model Curve for Arbitrary N
• {\cal N}=2 SO(N) SYM theory from Matrix Model
• Flavour from partially resolved singularities
• Chiral rings, anomalies and loop equations in N=1* gauge theories
• The Matrix Model Curve Near the Singularities
• Konishi Anomalies and Curves without Adjoints
• Resurgent Structure of the Topological String and the First Painlevé Equation
• Refined topological amplitudes in N=1 flux compactification
• Superpotentials, quantum parameter space and phase transitions in N=1 supersymmetric gauge theories
• Topological order in matrix Ising models
• Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets
• $q$-Difference Kac-Schwarz Operators in Topological String Theory
• On the Chiral Ring of N=1 Supersymmetric Gauge Theories
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems
• Topological symmetry-restored phase of gravity
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Planar Homological Mirror Symmetry
• Spectral curves in gauge/string dualities: integrability, singular sectors and regularization
• SUSY/Non-SUSY Duality in U(N) Gauge Model with Partially Broken N=2 Supersymmetry
• Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
• A Matrix model from string field theory
• Phases in WLZZ Matrix Models
• Quantum Geometries of $A_2$
• Relating prepotentials and quantum vacua of N=1 gauge theories with different tree-level superpotentials
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• On {\cal N}=1 exact superpotentials from U(N) matrix models
• BIons in topological string theory
• Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter
• Geometric Transition as a Change of Polarization
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes
• A Nonperturbative Proof of Dijkgraaf-Vafa Conjecture
• Unitary Matrix Model of a Chiral [SU(N)]^K Gauge Theory
• The universality class of the first levels in low-dimensional gravity
• Geometric Metastability, Quivers and Holography
• On the Multi Trace Superpotential and Corresponding Matrix Model
• Quantum chaos in 2D gravity
• A Topological Extension of General Relativity to Explore the Nature of Quantum Space-time, Dark Energy and Inflation
• Factorized class $S$ theories and surface defects
• 5D AGT conjecture for circular quivers
• Topological B-Model and \hat{c}=1 Fermionic Strings
• Konishi Anomalies and N=1 Curves
• Birth of String Theory
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly