SL(2,R)xU(1)/U(1) CFT, NS5+F1 system and single trace T(T)over-bar

In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model SL(2,R)xU(1)/U(1) x S-3 x T-4 with SL(2, R) WZW level k >= 2, (ii) the full near horizon theory of the NS5 branes with k NS5 branes wrapping T-4 x S-1, p >> 1 F1 strings wrapping S-1 and n units of momentum along the S-1 and (iii) the single trace T (T) over bar deformation of string theory in AdS(3) x S-3 x T-4. As a check we compute the spectrum (continuous) of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace T (T) over bar deformed string theory in AdS(3). Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.

Automated summary

This paper demonstrates the equivalence among different string theory descriptions and verifies this equivalence by calculating the spectrum and the two-point correlation function.