Conformal Field Theory of AdS Background with Ramond-Ramond Flux

Abstract

We review a formalism of superstring quantization with manifest six-dimensional spacetime supersymmetry, and apply it to AdS_3 x S^3 backgrounds with Ramond-Ramond flux. The resulting description is a conformal field theory based on a sigma model whose target space is a certain supergroup SU'(2|2).

89 pages harvmac. Added four references

Cited by in corpus (207)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Superstrings and Topological Strings at Large N
• Microscopic Formulation of Black Holes in String Theory
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• The Worldsheet Dual of the Symmetric Product CFT
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Integrability and the AdS(3)/CFT(2) correspondence
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions
• On stringy AdS_5 x S^5 and higher spin holography
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• gl(N|N) Super-Current Algebras for Disordered Dirac Fermions in Two Dimensions
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• The GL(1|1) WZW model: From Supergeometry to Logarithmic CFT
• Strings on Semisymmetric Superspaces
• Higher Spin Symmetry and N=4 SYM
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Towards integrability for AdS3/CFT2
• Covariant One-Loop Amplitudes in D=11
• Ghost D-branes
• On the spectrum of AdS/CFT beyond supergravity
• The WZNW model on PSU(1,1|2)
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Summing over Geometries in String Theory
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Partition functions of the tensionless string
• The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
• S-matrix for magnons in the D1-D5 system
• TsT, $T\bar{T}$ and black strings
• Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
• Continuum Limit of the Integrable sl(2/1) 3-\bar{3} Superspin Chain
• Representation theory of sl(2|1)
• One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
• Superstrings in 2D Backgrounds with R-R Flux and New Extremal Black Holes
• Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Correlators of the symmetric product orbifold
• Higher spins on AdS${}_3$ from the worldsheet
• Strings on ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• Indecomposability parameters in chiral Logarithmic Conformal Field Theory
• Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background
• Twisted Supergravity and Koszul Duality: A case study in AdS${}_3$
• Quantization of the Type II Superstring in a Curved Six-Dimensional Background
• Conformal Sigma-Models on Supercoset Targets
• Tree-level amplitudes from the pure spinor superstring
• A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Free fermion resolution of supergroup WZNW models
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Branes in the GL(1|1) WZNW-Model
• Higher genus correlators for tensionless ${\mathrm{AdS}}_3$ strings
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Brane Baldness vs. Superselection Sectors
• Matrix Strings in Weakly Curved Background Fields
• String correlators on ${\text{AdS}}_3$: Analytic structure and dual CFT
• Conformal Current Algebra in Two Dimensions
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• Integrable quantum field theories with OSP(m/2n) symmetries
• Geometric Engineering of N=2 CFT_{4}s based on Indefinite Singularities: Hyperbolic Case
• Superstrings in AdS
• Exact Solutions of Berkovits' String Field Theory
• From maximal to minimal supersymmetry in string loop amplitudes
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• A New Limit of the AdS_5 x S^5 Sigma Model
• Scaling limit of the ${\mathcal{Z}}_2$ invariant inhomogeneous six-vertex model
• Higher Spins and Stringy AdS5xS5
• Superstring Perturbation Theory and Ramond-Ramond Backgrounds
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Poisson-Lie T-dual sigma models on supermanifolds
• Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes
• Analogues of Discrete Torsion for the M-Theory Three-Form
• Massless particles on supergroups and AdS3 x S3 supergravity
• String States on AdS_3 x S^3 from the Supergroup
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Winding tachyons in BTZ
• BPS Correlators for ${\text{AdS}}_3/{\text{CFT}}_2$
• Perturbing the symmetric orbifold from the worldsheet
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Supertwistors and Cubic String Field Theory for Open N=2 Strings
• The massless string spectrum on AdS_3 x S^3 from the supergroup
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• Non-linear sigma models with anti-de Sitter target spaces
• The conformal current algebra on supergroups with applications to the spectrum and integrability
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Holography and the Polyakov action
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• The free field realisation of the BVW string
• First-principles derivation of the AdS/CFT Y-systems
• Quantization of Superstrings in Ramond-Ramond Backgrounds
• Pure-spinor superstrings in d=2,4,6
• Long strings and chiral primaries in the hybrid formalism
• Bose-Fermi cancellations without supersymmetry
• Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions
• Cohomological Reduction of Sigma Models
• The plane-wave spectrum from the worldsheet
• N=2 Sigma Models for Ramond-Ramond Backgrounds
• Supergroup - extended super Liouville correspondence
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Bound-states of D-branes in L-R asymmetric superstring vacua
• Simplifying one-loop amplitudes in superstring theory
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• Integrable bootstrap for AdS3/CFT2 correlation functions
• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Gauging Cosets
• From world-sheet supersymmetry to super target spaces
• On Nonperturbative Solutions of Superstring Field Theory
• DDF operators in the Hybrid Formalism
• WZW models as mutual super Poisson-Lie T-dual sigma models
• Superstring in the plane-wave background with RR flux as a conformal field theory
• Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
• Flux Vacua and Supermanifolds
• AdS-Flows and Weyl Gravity
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• The large M limit of Non-Commutative Open Strings at strong coupling
• Topological String on AdS_3 x N
• Exploring The Lambda Model Of The Hybrid Superstring
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Superstrings in Thermal Anti-de Sitter Space
• Renormalization in large-$N$ QCD is incompatible with open/closed string duality
• Closed strings in Ramond-Ramond backgrounds
• Wrapped Fivebranes Redux
• A localising AdS${}_3$ sigma model
• Aspects of Quantum Fermionic T-duality
• Conformal superspace sigma-models
• Noncritical Strings, RG Flows and Holography
• On the Spectrum of Superspheres
• Free field realization of current superalgebra $gl(m|n{)}_k$
• Penrose limit and string quantization in AdS_3 \times S^3
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• D=4 Pure Spinor Superstring and N=2 Strings
• Restoring Lorentz Invariance in Classical N=2 String
• A Note on Classical String Dynamics on AdS_3
• Fermionic one-loop amplitudes of the RNS superstring
• $gl(4|4)$ current algebra: free field realization and screening currents
• Three-Graviton Amplitude in Berkovits-Vafa-Witten Variables
• Superspace Parafermions
• The Hirota equation for string theory in AdS5xS5 from the fusion of line operators
• Anomalous Dimensions in Deformed WZW Models on Supergroups
• Free field realisation of boundary vertex algebras for Abelian gauge theories in three dimensions
• Integrability of D1-brane on Group Manifold with Mixed Three Form Flux
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Complete Lagrangian formulation for N=4 topological string
• Making the hyper--Kähler structure of N=2 quantum string manifest
• Classical geometry from the tensionless string
• Non-chiral current algebras for deformed supergroup WZW models
• A hierarchy of WZW models related to super Poisson-Lie T-duality
• Hybrid Formalism, Supersymmetry Reduction, and Ramond-Ramond Fluxes
• Differential operator realizations of superalgebras and free field representations of corresponding current algebras
• High-gradient operators in perturbed Wess-Zumino-Witten field theories in two dimensions
• Spectra of Coset Sigma Models
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality
• Stringy CFT Duals with $\mathcal{N}=(2,2)$ Supersymmetry
• Yangian Superalgebras in Conformal Field Theory
• Noncommutative D-brane from Covariant AdS Superstring
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• On the Relation between Hybrid and Pure Spinor String Theory
• Topological String on OSP(1|2)/U(1)
• Conserved Charges in the Principal Chiral Model on a Supergroup
• Free field realization of the $osp(2n|2n)$ current algebra
• On multi-spin classical strings with NS-NS flux
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• On novel string theories from 4d gauge theories
• Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• Can one restore Lorentz invariance in quantum N=2 string?
• The physical states of the Hybrid Formalism
• A Heterotic N=2 String with Space-Time Supersymmetry
• Kappa symmetric OSp(2|2) WZNW model
• D-Branes in ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• Vertex Operators in $Ad{S}_3\times S^3$ Background with NS_NS Flux using Berkovits-Vafa-Witten Variables
• Moving holographic boundaries
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• On the gl(1|1) Wess-Zumino-Witten Model
• String theory in twistor space and minimal tension holography
• Hybrid Superstrings on Singular Calabi-Yau Fourfolds
• Space-time symmetry from the world-sheet
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Vertex Operators for AdS3 with Ramond Background
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• D0 and D1 Brane With ${\kappa }_{-}$ and ${\kappa }_{+}$ Extended Symmetry
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• On the polarization of closed strings by Ramond-Ramond fluxes
• Multi-parametric R-matrix for the sl(2|1) Yangian
• Irreducible representations of Upq[gl(2/2)]
• The Intermediate Coupling Regime in the AdS/CFT Correspondence
• Geometric construction of D-branes in WZW models
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Transfer matrices for AdS3/CFT2
• Exact classical solutions of nonlinear sigma models on supermanifolds