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



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Recording Details

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PIRSA Number: 
12100062

Abstract

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.