PIRSA:12100062

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

Zarembo, K. (2012). AdS(3)/CFT(2) correspondence and integrability. Perimeter Institute. https://pirsa.org/12100062

Zarembo, Konstantin. AdS(3)/CFT(2) correspondence and integrability. Perimeter Institute, Oct. 09, 2012, https://pirsa.org/12100062 

          @misc{ pirsa_PIRSA:12100062,
            doi = {10.48660/12100062},
            url = {https://pirsa.org/12100062},
            author = {Zarembo, Konstantin},
            keywords = {Quantum Fields and Strings, Mathematical physics},
            language = {en},
            title = {AdS(3)/CFT(2) correspondence and integrability},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {oct},
            note = {PIRSA:12100062 see, \url{https://pirsa.org}}
          }

Konstantin Zarembo Nordic Institute for Theoretical Physics

DOI 10.48660/12100062
Collection
Talk Type Scientific Series
Subject

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.