The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)

Abstract

The problem of finding a holographic CFT dual to string theory on AdS(3)xS(3)xS(3)xS(1) is examined in depth. This background supports a large N=4 superconformal symmetry. While in some respects similar to the familiar small N=4 systems on AdS(3)xS(3)xK3 and AdS(3)xS(3)xT4, there are important qualitative differences. Using an analog of the elliptic genus for large N=4 theories we rule out all extant proposals -- in their simplest form -- for a holographic duality to supergravity at generic values of the background fluxes. Modifications of these extant proposals and other possible duals are discussed.

88 pages, 2 figures, harvmac; references added

References in corpus (6)

• Gravity solutions for the D1-D5 system with angular momentum
• K-Theory from a physical perspective
• Kaluza-Klein supergravity on AdS_3 x S^3
• More on Superstrings in AdS(3) x N
• An Index for 2D field theories with large N=4 superconformal symmetry
• Yang-Mills-Chern-Simons Supergravity

Cited by in corpus (52)

• Higher Spins & Strings
• The Holographic Dual of AdS3 x S3 x S3 x S1
• Large N=4 Holography
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• All-loop Bethe ansatz equations for AdS3/CFT2
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Dressing phases of AdS3/CFT2
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• BPS spectrum on AdS${}_3\times$S${}^3\times$S${}^3\times$S${}^1$
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Worldsheet scattering in AdS(3)/CFT(2)
• Chiral anomalies and AdS/CMT in two dimensions
• I-Brane Dynamics
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Higher spin AdS_3 holography with extended supersymmetry
• Strings on ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• Spiked Instantons from Intersecting D-branes
• AdS Solutions Through Transgression
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Macroscopic (and Microscopic) Massless Modes
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• On the coset duals of extended higher spin theories
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• Higher Spin Currents in Wolf Space: Part I
• (0,4) brane box models
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Yangian Symmetry of String Theory on $Ad{S}_3\times S^3\times S^3\times S^1$ with Mixed 3-form Flux
• An Index for 2D field theories with large N=4 superconformal symmetry
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• The plane-wave spectrum from the worldsheet
• D1 and D5-brane giant gravitons on $Ad{S}_3\times S^3\times S^3\times S^1$
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
• D1-D5 on ALE Space
• The black M2-M5 ring intersection spins
• Free field realization of superstring theory on AdS3
• Geometric interpretation of the large N=4 index
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Wrapped Fivebranes Redux
• On N-spike strings in conformal gauge with NS-NS fluxes
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• The Grassmannian VOA
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Young supertableaux and the large $\mathcal{N}=4$ superconformal algebra