Integrability and the AdS(3)/CFT(2) correspondence

Abstract

We investigate the AdS(3)/CFT(2) correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS(3)xS(3)xM(4) where M(4)=T(4) or S(3)xS(1) using the coset approach. These actions are based on a Z(4) automorphism of the super-coset D(2,1;alpha)xD(2,1;alpha)/SO(1,2)xSO(3)xSO(3). The equations of motion admit a representation in terms of a Lax connection, showing that the system is classically integrable. We present the finite gap equations for these actions. When alpha=0,1/2,1 we propose a set of quantum Bethe equations valid at all values of the coupling. The AdS(3)/CFT(2) duals contain novel massless modes whose role remains to be explored.

43 pages, 4 figures; v2: misprints corrected; v3: clarifications on validity of quantum Bethe equations added in sec. 7.4, misprints corrected

References in corpus (12)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The all loop AdS4/CFT3 Bethe ansatz
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Complete 1-loop test of AdS/CFT
• Y-system and Quasi-Classical Strings
• Strings as Multi-Particle States of Quantum Sigma-Models
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence

Cited by in corpus (155)

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• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
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• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
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