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- AdS(3)/CFT(2) correspondence and integrability

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12100062

Integrability has been successfully used to compute the

non-perturbative spectrum, Wilson loops and scattering amplitudes in the

AdS/CFT correspondence. Most of these results apply to N=4, D=4 SYM / strings

on AdS(5)xS(5). Strings on AdS(3)xM, where M is either

S(3)xT(4) or S(3)xS(3)xS(1), are also integrable and

potentially solvable by the same methods (Bethe ansatz, Y-system, TBA etc). An

interesting aspect of string theory on AdS(3) is a large number of parameters

that preserve integrability. One parameters, in particular, interpolates

between the integrable RR AdS(3) background and conformal NSNS background

described by a non-compact WZW model. Another interesting aspect of string

theory on AdS(3) is emergence of target-space Viraroso symmetry. I will review

how integrability arises in the AdS(3)/CFT(2) correspondence, and will describe

what is (not) know about the Bethe ansatz solution of the relevant

sigma-models.

©2012 Perimeter Institute for Theoretical Physics