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

Understand

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.