Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux

TL;DR

This paper derives an exact S-matrix and dispersion relation for the superstring theory on AdS_3 x S^3 x T^4 with mixed fluxes, extending previous results to all flux values and confirming integrability.

Contribution

It provides the first exact massive-sector S-matrix and dispersion relation for the theory with mixed fluxes, generalizing previous q=0 results and leveraging symmetry and integrability constraints.

Findings

Proposed an exact dispersion relation valid for all NSNS flux values.

Constructed the exact S-matrix consistent with symmetry and integrability.

Extended previous q=0 S-matrix results to the general mixed flux case.

Abstract

The type IIB supergravity AdS_3 x S^3 x T^4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to be integrable, opening the possibility of computing its exact spectrum for any values of the coefficient q of the NSNS flux and the string tension. In arXiv:1303.1447 we have found the tree-level S-matrix for the massive BMN excitations in this theory, which turned out to have a simple dependence on q. Here, by analyzing the constraints of symmetry and integrability, we propose an exact massive-sector dispersion relation and the exact S-matrix for this world-sheet theory. The S-matrix generalizes its recent construction in the q=0 case in arXiv:1303.5995.