Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes

Abstract

We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\hat{c}=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of the $N=2$ theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira--Spencer theory, which may be viewed as the closed string analog of the Chern--Simon theory. Using the mirror map this leads to computation of the `number' of holomorphic curves of higher genus curves in Calabi--Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the corresponding $N=2$ theory. Relations with $c=1$ strings are also pointed out.

178 pages, 20 figures

References in corpus (11)

• Introduction to string field theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Holomorphic Anomalies in Topological Field Theories
• Topological Field Theory and Rational Curves
• Two Dimensional QCD as a String Theory
• Considerations of One-Modulus Calabi-Yau Compactifications: Picard-Fuchs Equations, Kähler Potentials and Mirror Maps
• Two dimensional black-hole as a topological coset model of c=1 string theory
• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• Ising Model and $N=2$ Supersymmetric Theories
• Calculation of Green-Schwarz Superstring Amplitudes Using the N=2 Twistor-String Formalism
• d\leq1\bigcup d\geq25$andConstrainedKPHierarchyfromBRSTInvarianceinthe$c\neq3$ Topological Algebra

Cited by in corpus (555)

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• The Topological Vertex
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Superstrings and Topological Strings at Large N
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• The Refined Topological Vertex
• Algebras, BPS States, and Strings
• From weak to strong coupling in ABJM theory
• Knot Invariants and Topological Strings
• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• Two-Dimensional Black Hole and Singularities of CY Manifolds
• On Geometry and Matrix Models
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Exact Counting of Black Hole Microstates
• The effective action of Type IIA Calabi-Yau orientifolds
• Corrections to macroscopic supersymmetric black-hole entropy
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• Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
• ABJM theory as a Fermi gas
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Quantum Foam and Topological Strings
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• Open string amplitudes and large order behavior in topological string theory
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• All Loop N=2 String Amplitudes
• Holomorphic generating functions for invariants counting coherent sheaves on Calabi-Yau 3-folds
• Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
• N=2 symplectic reparametrizations in a chiral background
• Quantum moduli spaces from matrix models
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
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• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• Off-shell N=2 tensor supermultiplets
• Little String Theory and Heterotic/Type II Duality
• Holomorphic anomaly equations and the Igusa cusp form conjecture
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Worldsheet Realization of the Refined Topological String
• Heterotic twistor-string theory
• A Stringy Test of the Fate of the Conifold
• Supersymmetric Protection and the Swampland
• Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
• Virasoro constraints for Kontsevich-Hurwitz partition function
• Open string topological amplitudes and gaugino masses
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• Moduli Space Holography and the Finiteness of Flux Vacua
• Effective superpotentials for compact D5-brane Calabi-Yau geometries
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
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• Electric-Magnetic Duality in Supergravity
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• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Counting BPS states on the Enriques Calabi-Yau
• Topological Amplitudes in Heterotic Superstring Theory
• Calculable e^{-1/λ} Effects
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• Quantum Open-Closed Homotopy Algebra and String Field Theory
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• Blowup Equations for 6d SCFTs. I
• Supersymmetric black holes
• The local Gromov-Witten theory of CP^1 and integrable hierarchies
• The Wave Function Behavior of the Open Topological String Partition Function on the Conifold
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• Resurgence Matches Quantization
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• A One Parameter Family of Calabi-Yau Manifolds with Attractor Points of Rank Two
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• Conifolds and Geometric Transitions
• Triality in Little String Theories
• Moduli Stabilization in the Heterotic/IIB Discretuum
• Matrix String Theory, 2D SYM Instantons and affine Toda systems
• Direct Integration and Non-Perturbative Effects in Matrix Models
• Blowup Equations for Refined Topological Strings
• Surface Defect Indices and 2d-4d BPS States
• Quantization condition from exact WKB for difference equations
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• Quantum periods of Calabi-Yau fourfolds
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• D-branes as a Bubbling Calabi-Yau
• Open-closed homotopy algebra in mathematical physics
• String Duality and Modular Forms
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• Large N Duality, Lens Spaces and the Chern-Simons Matrix Model
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• Instantons, Hypermultiplets and the Heterotic String
• Shortening Anomalies in Supersymmetric Theories
• On the topology of the hypermultiplet moduli space in type II/CY string vacua
• On the resurgent structure of quantum periods
• Feynman diagrams and $\Omega$-deformed M-theory
• Wall Crossing As Seen By Matrix Models
• The two-loop superstring five-point amplitude and S-duality
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• Quantum Curves, Resurgence and Exact WKB
• The Volume Conjecture and Topological Strings
• Higher Derivative F-terms in N=2 Strings
• Construction of SL(2,Z) invariant amplitudes in type IIB superstring theory
• Comments on BRST quantization of strings
• N=4 Topological Amplitudes and String Effective Action
• The mixed black hole partition function for the STU model
• Topological partition function and string-string duality
• Quantizing the non-linear graviton
• Holomorphic Chern-Simons-Witten Theory: from 2D to 4D Conformal Field Theories
• Topological Masses From Broken Supersymmetry
• Superspin chains from superstring theory
• Effective superpotentials for B-branes in Landau-Ginzburg models
• Refined Black Hole Ensembles and Topological Strings
• Topological Strings and (Almost) Modular Forms
• Harmonicity in N=4 supersymmetry and its quantum anomaly
• Quantum geometry from the toroidal block
• Black-holes, topological strings and large N phase transitions
• Open G2 Strings
• On Stringy Origin of Minimal Flavor Violation
• Dressing Symmetries of Holomorphic BF Theories
• Comments on ABJM free energy on $S^3$ at large $N$ and perturbative expansions in M-theory and string theory
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
• Topological string amplitudes for the local half K3 surface
• Vafa-Witten theory and iterated integrals of modular forms
• WKB Method and Quantum Periods beyond Genus One
• Comments on the Holomorphic Anomaly in Open Topological String Theory
• Holomorphic anomaly equation for $({\mathbb{P}}^2,E)$ and the Nekrasov-Shatashvili limit of local ${\mathbb{P}}^2$
• Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories
• On the Weil-Petersson volume and the first Chern Class of the moduli space of Calabi-Yau manifolds
• Holomorphic Analogs of Topological Gauge Theories
• Modular Anomaly Equation for Schur Index of $\mathcal{N}=4$ Super-Yang-Mills
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Integrality theorems in the theory of topological strings
• Modular Anomaly from Holomorphic Anomaly in Mass Deformed N=2 Superconformal Field Theories
• Chern-Simons Matrix Models and Unoriented Strings
• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• Chiral field theories from conifolds
• Topological Amplitudes and Physical Couplings in String Theory
• Non-compact Topological Branes on Conifold
• Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges
• The Topological G2 String
• BPS black holes, the Hesse potential, and the topological string
• Hitchin functionals are related to measures of entanglement
• Membranes for Topological M-Theory
• Semi-Chiral Operators in 4d $\mathcal{N}=1$ Gauge Theories
• Chiral operators in two-dimensional (0,2) theories and a test of triality
• An ansatz for a non-perturbative four-graviton amplitude in type IIB superstring theory
• One-Loop N-Point Superstring Amplitudes with Manifest d=4 Supersymmetry
• String duality, automorphic forms, and generalized Kac-Moody algebras
• Five-Dimensional Gauge Theories from Shifted Web Diagrams
• Planar Gravitational Corrections For Supersymmetric Gauge Theories
• D-Brane Amplitudes in Topological String on Conifold
• Deformations of special geometry: in search of the topological string
• Exceptional String: Instanton Expansions and Seiberg-Witten Curve
• From world-sheet supersymmetry to super target spaces
• Exponential map and $L_{\infty }$ algebra associated to a Lie pair
• Topological String Theory Revisited I: The Stage
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• Double field theory for the A/B-models and topological S-duality in generalized geometry
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• Supersymmetric black holes in string theory
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• Computing the elliptic genus of higher rank E-strings from genus 0 GW invariants
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• Topological Strings on Grassmannian Calabi-Yau manifolds
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• Exact computation of the Special geometry for Calabi-Yau hypersurfaces of Fermat type
• Cargese lectures on string theory with eight supercharges
• Resurgence analysis of 2d Yang-Mills theory on a torus
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• Giant gravitons in twisted holography
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
• Topological strings and Wilson loops
• Partial $\mathcal{N}=2\to \mathcal{N}=1$ supersymmetry breaking and gravity deformed chiral rings
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• Frobenius transformation, mirror map and instanton numbers
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• D-instanton, threshold corrections, and topological string
• Geometry of Conformal Manifolds and the Inversion Formula
• Black hole entropy and topological strings on generalized CY manifolds
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• Topological Cigar and the c=1 String : Open and Closed
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• The Genus-One Global Mirror Theorem for the Quintic Threefold
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• ABCD of Beta Ensembles and Topological Strings
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• BPS states and supersymmetric index in N=2 type I string vacua
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• 't Hooft Expansion of 1/2 BPS Wilson Loop
• Double Scaling Limits in Gauge Theories and Matrix Models
• Large N gauge theories and topological cigars
• RG flow on random surfaces with handles and closed string field theory
• The Kontsevich Connection on the Moduli Space of FZZT Liouville Branes
• BCOV invariants of Calabi--Yau manifolds and degenerations of Hodge structures
• Chern-Simons from Dirichlet 2-brane instantons
• Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation
• Open Gromov-Witten Theory of $K_{{\mathbb{P}}^2},K_{{\mathbb{P}}^1\times {\mathbb{P}}^1},K_{W\mathbb{P}[1,1,2]},K_{{\mathbb{F}}_1}$ and Jacobi Forms
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Quantum Chern-Simons theories on cylinders: BV-BFV partition functions
• Minuscule Schubert Varieties and Mirror Symmetry
• Solving the Topological String on K3 Fibrations
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Two-Dimensional Yang-Mills Theory and Moduli Spaces of Holomorphic Differentials
• Non-holomorphic deformations of special geometry and their applications
• N=4 Topological Amplitudes and Black Hole Entropy
• Towards Refining the Topological Strings on Compact Calabi-Yau 3-folds
• Chern-Simons theory with the exceptional gauge group as a refined topological string
• A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves
• Airy Equation for the Topological String Partition Function in a Scaling Limit
• Topological String Geometry
• Gromov-Witten Invariants of Local P^2 and Modular Forms
• Double Scaling Limits and Twisted Non-Critical Superstrings
• Gravitational couplings in $\mathcal{N}=2$ string compactifications and Mathieu Moonshine
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• New T-duality for Chern-Simons Theory
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• N=1 G_2 SYM theory and Compactification to Three Dimensions
• The Topological Cigar Observables
• The holomorphic anomaly for open string moduli
• Quivers via anomaly chains
• A Remark on Gromov-Witten Invariants of Quintic Threefold
• Quantization and holomorphic anomaly
• Twisted holography on AdS${}_3\times S^3\times K3$ & the planar chiral algebra
• Refined Cigar and Omega-deformed Conifold
• Weyl invariant Jacobi forms along Higgsing trees
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• Kahler Quantization of H3(CY3,R) and the Holomorphic Anomaly
• First Order String Theory and the Kodaira-Spencer Equations. I
• On Effective Superpotentials and Compactification to Three Dimensions
• Lectures on Higgs moduli and abelianisation
• Spectral Flows and Twisted Topological Theories
• Symmetric Orbifold Theories from Little String Residues
• Instanton Calculus and Loop Operator in Supersymmetric Gauge Theory
• Open-closed duality and Double Scaling
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes
• 4D black holes and holomorphic factorization of the 0A matrix model
• Penner Type Ensemble for Gauge Theories Revisited
• Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
• On the Kähler-Hodge structure of superconformal manifolds
• Gromov-Witten Invariants via Algebraic Geometry
• A Fock Sheaf For Givental Quantization
• Supergravity without gravity and its BV formulation
• Topological String on Toric CY3s in Large Complex Structure Limit
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• A Comment on Quantum Distribution Functions and the OSV Conjecture
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Topological Strings from WZW Models
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Notes on reductions of superstring theory to bosonic string theory
• On Mathieu moonshine and Gromov-Witten invariants
• On explicit formulae of LMOV invariants
• Topological String on OSP(1|2)/U(1)
• On Graviphoton F-terms of N=1 SU(N) SYM with Fundamental Matter
• Holomorphic Chern-Simons theory coupled to off-shell Kodaira-Spencer gravity
• Exact instanton transseries for quantum mechanics
• On a Gopakumar-Vafa form of partition function of Chern-Simons theory on classical and exceptional lines
• Motivic integration and the birational invariance of BCOV invariants
• Taming open/closed string duality with a Losev trick
• Kodaira-Spencer deformation of complex structures and Lagrangian field theory
• M-theory interpretation of the real topological string
• $E_8$ spectral curves
• Bloch electrons on honeycomb lattice and toric Calabi-Yau geometry
• Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
• Meromorphic Higgs bundles And Related Geometries
• Instanton Corrections for m and Omega
• Boundary Weyl anomaly of $\mathcal{N}=(2,2)$ superconformal models
• Dijkgraaf-Vafa conjecture and beta-deformed matrix models
• A string realisation of $\Omega$-deformed Abelian $\mathcal{N}=2^{\ast }$ theory
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Flat Connections in Open String Mirror Symmetry
• Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• SW(3/2,2) subsymmetry in G${}_2$, Spin(7) and N=2 CFTs
• Curves on K3 surfaces in divisibility two
• Bootstrapping ADE M-strings
• Pure spinor formulation of the superstring and its applications
• Large N instantons from topological strings
• Summability of Superstring Theory
• Renormalization Method and Mirror Symmetry
• Deformed planar topological open string amplitudes on Seiberg-Witten curve
• Refined topological amplitudes in N=1 flux compactification
• Refined open topological strings revisited
• A String Dual for Partially Topological Chern-Simons-Matter Theories
• Heterotic strings on $(K3\times T^2)/{\mathbb{Z}}_3$ and their dual Calabi-Yau threefolds
• Resurgence of Refined Topological Strings and Dual Partition Functions
• Resurgent Structure of the Topological String and the First Painlevé Equation
• Yang-Mills, Complex Structures and Chern's Last Theorem
• Towards A Topological G_2 String
• On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• The c-map as a functor on certain variations of Hodge structure
• Exact results for an STU-model
• String Theory near a Conifold Singularity
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications
• Regularized Integrals on Riemann Surfaces and Modular Forms
• Resurgence, Stokes constants, and arithmetic functions in topological string theory
• Notes on a singular Landau-Ginzburg family
• Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• Gravitational F-terms of N=1 Supersymmetric Gauge Theories
• Refined Topological Amplitudes from the $\Omega$-Background in String Theory
• Supergravity Fluxes and Generalised Geometry
• W-(infinity)-algebras in n complex dimensions and Kodaira-Spencer deformations : a symplectic approach
• The String Geometry Behind Topological Amplitudes
• Exact renormalization group in Batalin--Vilkovisky theory
• Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
• Constraints on heterotic M-theory from s-cobordism
• Compactified Webs and Domain Wall Partition Functions
• Topological Amplitude Computations using the Pure Spinor Formalism
• Boson-Fermion Correspondence and Holomorphic Anomaly Equation in 2d Yang-Mills Theory on Torus
• Singular Yukawa and gauge couplings in d=4 Heterotic String Vacua
• Noncommutative resolutions and CICY quotients from a non-abelian GLSM
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations
• String theory: an update
• Elliptic Virtual Structure Constants and Generalizations of BCOV-Zinger Formula to Projective Fano Hypersurfaces
• Symplectic cuts and open/closed strings I
• Generalized cohomological field theories in the higher order formalism
• Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds
• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
• Minimal redefinition of the OSV ensemble
• Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity
• Global aspects of moduli spaces of 2d SCFTs
• Duality covariant variables for STU-model in presence of non-holomorphic corrections
• $\Omega$ versus Graviphoton
• B-strings on non-Kählerian manifolds
• Holomorphic field theories and higher algebra
• Higher Genus Gromov-Witten Theory of C^n/Z_n I: Holomorphic Anomaly Equations
• Vacuum Geometry of the N=2 Wess-Zumino Model
• On the Multi Trace Superpotential and Corresponding Matrix Model
• A perturbative construction of primitive forms from log Landau-Ginzburg mirrors of toric manifolds
• Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory
• Kodaira-Spencer Anomalies with Stora-Zumino Method
• On recursion relations in topological string theory
• The universality class of the first levels in low-dimensional gravity
• Twisting BFSS & IKKT
• Geometric Transition as a Change of Polarization
• New Reflections on Gravitational Duality
• Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau Manifold
• Direct Computation of Monodromy Matrices and Classification of 4d N=2 Heterotic--IIA Dual Vacua
• Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism
• Kahler quantization of H*(T2,R) and modular forms
• Quantum chaos in 2D gravity
• Calabi-Yau/Landau-Ginzburg Correspondence for Weil-Peterson Metrics and $t{t}^{\ast }$ Structures
• Topological $\sigma$-Models and Large-$N$ Matrix Integral
• Enumerative geometry of surfaces and topological strings
• Singularities in d=4, N=1 Heterotic String Vacua