Superstrings on NS5 backgrounds, deformed AdS3 and holography

Abstract

We study a non-standard decoupling limit of the D1/D5-brane system, which interpolates between the near-horizon geometry of the D1/D5 background and the near-horizon limit of the pure D5-brane geometry. The S-dual description of this background is actually an exactly solvable two-dimensional (worldsheet) conformal field theory: {null-deformed SL(2,R)} x SU(2) x T^4 or K3. This model is free of strong-coupling singularities. By a careful treatment of the SL(2,R), based on the better-understood SL(2,R) / U(1) coset, we obtain the full partition function for superstrings on SL(2,R) x SU(2) x K3. This allows us to compute the partition functions for the J^3 and J^2 current-current deformations, as well as the full line of supersymmetric null deformations, which links the SL(2,R) conformal field theory with linear dilaton theory. The holographic interpretation of this setup is a renormalization-group flow between the decoupled NS5-brane world-volume theory in the ultraviolet (Little String Theory), and the low-energy dynamics of super Yang--Mills string-like instantons in six dimensions.

JHEP style, 59 pages, 1 figure; v2: minor changes, to appear in JHEP

References in corpus (41)

• Target Space Duality in String Theory
• AdS3 Black Holes and a Stringy Exclusion Principle
• D-Branes and Topological Field Theories
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Linear Dilatons, NS5-branes and Holography
• Microscopic Formulation of Black Holes in String Theory
• The domain-wall/QFT correspondence
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Gauge Theory and the Excision of Repulson Singularities
• Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Little String Theory in a Double Scaling Limit
• Holography for Non-Critical Superstrings
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
• The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle
• Exact Duality Symmetries in CFT and String Theory
• Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
• Semiclassical decay of near extremal fivebranes
• String Theory in Magnetic Monopole Backgrounds
• Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• Branes for Higgs phases and exact conformal field theories
• Superstring Gravitational Wave Backgrounds with Spacetime Supersymmetry
• Complex Structures, Duality, and WZW-Models in Extended Superspace
• Current-Current Deformations of Conformal Field Theories, and WZW Models
• On exact solutions and singularities in string theory
• String Threshold corrections in models with spontaneously broken supersymmetry
• Solving the Decompactification Problem in String Theory
• A truly marginal deformation of SL(2,R) in a null direction
• Exact Supersymmetric String Solutions in Curved Gravitational Backgrounds
• Ghost-free and Modular Invariant Spectra of a String in SL(2,R) and Three Dimensional Black Hole Geometry
• Exact four dimensional string solutions and Toda-like sigma models from `null-gauged' WZNW theories
• Four Dimensional Gravitational Backgrounds Based on N=4 c=4 Superconformal Systems
• Spacetime supersymmetry in $Ad{S}_3$ backgrounds
• String Theory on AdS_3 as Discrete Light-Cone Liouville Theory
• Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for fermionic strings in AdS(3) x N
• Five-Brane Configurations without a Strong Coupling Regime

Cited by in corpus (80)

• Warped AdS_3 Black Holes
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• The Worldsheet Dual of the Symmetric Product CFT
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Holography Beyond AdS
• Strings on NS-NS Backgrounds as Integrable Deformations
• Superstrings on AdS3 at k=1
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• Three-dimensional black holes from deformed anti-de Sitter
• TsT, $T\bar{T}$ and black strings
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• D-branes in N=2 Liouville and its mirror
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• On (non)integrability of classical strings in p-brane backgrounds
• Higher spins on AdS${}_3$ from the worldsheet
• Stringy AdS3 from the Worldsheet
• Spectral Flow in AdS(3)/CFT(2)
• Stability of warped AdS3 vacua of topologically massive gravity
• Hopfing and Puffing Warped Anti-de Sitter Space
• D-branes in Little String Theory
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• On the tensionless limit of gauged WZW models
• 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
• Local $\beta$-deformations and Yang-Baxter sigma model
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Counting Giant Gravitons in AdS_3
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• Fundamental Superstrings as Holograms
• Supersymmetric Gödel and warped black holes in string theory
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Averaging over moduli in deformed WZW models
• Heating up holography for single-trace $J\bar{T}$ deformations
• Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory
• $T\bar{T}$ type deformation in the presence of a boundary
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• More AdS_3 correlators
• Holography and Irrelevant Operators
• Complexity of warped conformal field theory
• Integrable asymmetric $\lambda$-deformations
• D-branes in Lorentzian AdS(3)
• Integrable Superstrings on the Squashed Three-sphere
• Long strings and chiral primaries in the hybrid formalism
• Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
• $O(d,d)$ transformations preserve classical integrability
• NS5-branes on an ellipsis and novel marginal deformations with parafermions
• Thermodynamics of $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed conformal field theories
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• Free field realization of superstring theory on AdS3
• Non-Abelian coset string backgrounds from asymptotic and initial data
• Note about Static D1-brane in I-brane Background
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Particle collisions near a three-dimensional warped AdS black hole
• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Holographic approach to deformations of NS5-brane distributions and exact CFTs
• On modular properties of the AdS3 CFT
• Stringy CFT Duals with $\mathcal{N}=(2,2)$ Supersymmetry
• Rolling tachyon in anti-de Sitter space-time
• Solvable time-like cosets and holography beyond $AdS$
• Encoded information of mixed correlations: the views from one dimension higher
• Orientifolds in N=2 Liouville Theory and its Mirror
• Moving holographic boundaries
• A substrate for brane shells from $T\bar{T}$
• Comments on single trace $T\bar{T}$ and other current-current deformations
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Winding modes and the reflection symmetry in AdS${}_3$
• Parafermions, Brane Distributions and FRW Hierarchies
• Strings and D-branes in holographic backgrounds