Localization techniques in quantum field theories

Abstract

This is the foreword to the special volume on localization techniques in quantum field theory. We summarize the individual chapters and their relation.

The complete volume can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

References in corpus (16)

• The supersymmetric index in four dimensions
• Localization on three-dimensional manifolds
• Localization and AdS/CFT Correspondence
• The F-Theorem and F-Maximization
• Holomorphic blocks and the 5d AGT correspondence
• Supersymmetric localization in two dimensions
• Introduction to localization in quantum field theory
• Localization at large N in Chern-Simons-matter theories
• An introduction to supersymmetric field theories in curved space
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• A brief review of the 2d/4d correspondences
• N=2 SUSY gauge theories on S^4
• Review of localization in geometry
• Indices for 6 dimensional superconformal field theories
• Matrix models for 5d super Yang-Mills
• Gromov-Witten invariants and localization

Cited by in corpus (212)

• Dual Boundary Conditions in 3d SCFT's
• Seifert fibering operators in 3d $\mathcal{N}=2$ theories
• SUSY monopole potentials in 2+1 dimensions
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Two-point Correlators in N=2 Gauge Theories
• 3d Modularity
• Deconstructing zero: resurgence, supersymmetry and complex saddles
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Localization of the action in AdS/CFT
• Rank $Q$ E-string on a torus with flux
• Decoding a Three-Dimensional Conformal Manifold
• Spin Impurities, Wilson Lines and Semiclassics
• A Bethe Ansatz type formula for the superconformal index
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• N=2 Conformal SYM theories at large N
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• Universality of squashed-sphere partition functions
• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• Equivariant localization in supergravity
• The F-Theorem and F-Maximization
• Sum rules for characters from character-preservation property of matrix models
• Defect $a$-Theorem and $a$-Maximization
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Schur correlation functions on $S^3\times S^1$
• On matrix models and their $q$-deformations
• A slow review of the AGT correspondence
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Euclidean Supergravity
• Exact Bremsstrahlung functions in ABJM theory
• Spherical Branes
• Holomorphic blocks and the 5d AGT correspondence
• Twisting with a Flip (the Art of Pestunization)
• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
• Partial Deconfinement
• Comments on Squashed-sphere Partition Functions
• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Double scaling limit of N=2 chiral correlators with Maldacena-Wilson loop
• Decoding stringy near-supersymmetric black holes
• Twisting and localization in supergravity: equivariant cohomology of BPS black holes
• Analyticity of Nekrasov Partition Functions
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• Equivariant localization for AdS/CFT
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• Large $N$ Superconformal Indices for 3d Holographic SCFTs
• Chern-Simons theory from M5-branes and calibrated M2-branes
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Supersymmetry anomalies in $\mathcal{N}=1$ conformal supergravity
• Generalized Hawking-Page transitions
• One-loop determinants for black holes in 4d gauged supergravity
• A brief review of the 2d/4d correspondences
• Quantum Elliptic Calogero-Moser Systems from Gauge Origami
• BPS coherent states and localization
• On $W$-representations of $\beta$- and $q,t$-deformed matrix models
• Line Defects in Three Dimensional Mirror Symmetry beyond Linear Quivers
• Comments on ABJM free energy on $S^3$ at large $N$ and perturbative expansions in M-theory and string theory
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• Review of localization for 5d supersymmetric gauge theories
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• N=2 supersymmetric gauge theory on connected sums of $S^2\times S^2$
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• 3d Mirror Symmetry from S-duality
• Killing superalgebras for Lorentzian four-manifolds
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• A matrix model for the latitude Wilson loop in ABJM theory
• Squashing and supersymmetry enhancement in three dimensions
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Yukawa interactions at Large Charge
• A geometric recipe for twisted superpotentials
• dS${}_2$ Supergravity
• The planar limit of $\mathcal{N}=2$ chiral correlators
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Solving q-Virasoro constraints
• Topological AdS/CFT
• Transversally Elliptic Complex and Cohomological Field Theory
• Analytic continuation of dimensions in supersymmetric localization
• 3d $\mathcal{N}=2$ $\widehat{ADE}$ Chern-Simons Quivers
• Yang-Baxter deformations and generalized supergravity -- A short summary
• The 5d Superconformal Index at Large $N$ and Black Holes
• One-loop tests of supersymmetric gauge theories on spheres
• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• Intersecting Defects and Supergroup Gauge Theory
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• 7D supersymmetric Yang-Mills on curved manifolds
• Instanton Counting, Quantum Geometry and Algebra
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• BPS Hall Algebra of Scattering Hall States
• One-Dimensional Sectors From the Squashed Three-Sphere
• Supersymmetric localization of refined chiral multiplets on topologically twisted $H^2\times S^1$
• Boundary Conditions and Localization on AdS: Part 1
• A Macdonald refined topological vertex
• The topological line of ABJ(M) theory
• Quantization of Harer-Zagier formulas
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Dyonic black hole degeneracies in $\mathcal{N}=4$ string theory from Dabholkar-Harvey degeneracies
• Super instanton counting and localization
• An elliptic topological vertex
• SYM on Quotients of Spheres and Complex Projective Spaces
• On three-point functions in ABJM and the latitude Wilson loop
• Matrix models for 5d super Yang-Mills
• Supersymmetry anomalies in new minimal supergravity
• Pure anti-de Sitter supergravity and the conformal bootstrap
• Supersymmetric vortex loops in 3D gauge theories
• Quantum integrability from non-simply laced quiver gauge theory
• Bootstrapping the $S^5$ partition function
• The Origin of Calabi-Yau Crystals in BPS States Counting
• The Supercurrent and Einstein equations in the Superconformal formulation
• Cohomological Localization of $\mathcal{N}=2$ Gauge Theories with Matter
• Multi-cut Solutions in Chern-Simons Matrix Models
• Supersymmetry anomaly in the superconformal Wess-Zumino model
• Gauge origami and quiver W-algebras
• Simple Representations of BPS Algebras: the case of $Y({\widehat{\mathfrak{gl}}}_2)$
• Boundary conditions and localization on AdS: Part 2 General analysis
• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• Gromov-Witten invariants and localization
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Super Yang-Mills on Branched Covers and Weighted Projective Spaces
• The Holographic Dual of the $\Omega$-background
• Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators
• Deconstructing Little Strings with $\mathcal{N}=1$ Gauge Theories on Ellipsoids
• Localization and Non-Renormalization in Chern-Simons Theory
• Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Weyl invariant Jacobi forms along Higgsing trees
• Integrability treatment of AdS/CFT orbifolds
• A perturbative study of holographic mABJM theory
• Elliptic Genus Derivation of 4d Holomorphic Blocks
• Deconstructing Defects
• General modular quantum dilogarithm and beta integrals
• Comments on chiral algebras and $\Omega$-deformations
• Algorithms for representations of quiver Yangian algebras
• Local B-model Yukawa couplings from A-twisted correlators
• S-duality and supersymmetry on curved manifolds
• Superconformal index of higher derivative $\mathcal{N}=1$ multiplets in four dimensions
• Higgs and Coulomb Branch Descriptions of the Volume of the Vortex Moduli Space
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• From 5d Flat Connections to 4d Fluxes (the Art of Slicing the Cone)
• Vortex counting and the quantum Hall effect
• Euclidean supersymmetric solutions with the self-dual Weyl tensor
• Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Index of the Transversally Elliptic Complex in Pestunization
• Supersymmetric gauge theory on curved 7-branes
• Exploring superconformal Yang-Mills theories through matrix Bessel kernels
• The 3d $A$-model and generalised symmetries, Part I: bosonic Chern-Simons theories
• Five-dimensional gauge theories on spheres with negative couplings
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Large N instantons from topological strings
• Partition Functions of $\mathcal{N}=1$ Gauge Theories on $S^2\times {\mathbb{R}}_{\epsilon }^2$ and Duality
• Determinantal Calabi-Yau varieties in Grassmannians and the Givental $I$-functions
• (1,0) gauge theories on the six-sphere
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators
• Higher-Curvature Gravity, Black Holes and Holography
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Killing superalgebras for lorentzian five-manifolds
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• A note on symmetries in the path integral formulation of the Langevin dynamics
• Nonabelian mirrors and Gromov-Witten invariants
• Virasoro Constraint for Uglov Matrix Model
• New dimer integrable systems and defects in five dimensional gauge theory
• One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically twisted indices and CS theories
• The Cross Anomalous Dimension in Maximally Supersymmetric Yang--Mills Theory
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Circular quiver gauge theories, isomonodromic deformations and $W_N$ fermions on the torus
• Dualities and loops on squashed $S^3$
• Localization of Gauged Linear Sigma Model for KK5-branes
• Rozansky-Witten theory, Localised then Tilted
• Ten-dimensional lifts of global supersymmetry on curved spaces
• From $\mathcal{N}=4$ Super-Yang-Mills on ${\mathbb{RP}}^4$ to bosonic Yang-Mills on ${\mathbb{RP}}^2$
• Localization and Stationary Phase Approximation on Supermanifolds
• Non-Perturbative Schwinger-Dyson Equations for 3d $\mathcal{N}=4$ Gauge Theories
• The colored Jones polynomials as vortex partition functions
• Tunnels Under Geometries (or Instantons Know Their Algebras)
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap
• Les Houches lectures on non-perturbative Seiberg-Witten geometry
• Flavor deformations and supersymmetry enhancement in $4d$ $\mathcal{N}=2$ theories
• The coupling of Poisson sigma models to topological backgrounds
• Localizing non-linear $\mathcal{N}=(2,2)$ sigma model on $S^2$
• The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere
• Matching Renormalisation Schemes in Holography
• On regularizing the AdS superstring worldsheet
• Fermi-gas correlators of ADHM theory and triality symmetry
• Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
• Highlights in Supergravity: CCJ 47 Years Later
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$
• QFT Realization of Non-Unitary $\mathfrak{sl}(2,\mathbb{C})$ WRT Invariants and Their Galois Conjugations
• The four dimensional Yang--Mills partition function in the vicinity of the vacuum
• The semiclassical gravitational path integral and random matrices
• Equivariant localization in Batalin-Vilkovisky formalism
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• From superintegrability to tridiagonal representation of $\beta$-ensembles
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Anomalies and Holomorphy in Supersymmetric Chern-Simons-Matter Theories
• Equivariant and supersymmetric localization in QFT
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity
• Novel aspects of integrability for NLSMs in symmetric spaces
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Matrix models for extremal and integrated correlators of higher rank