The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux

TL;DR

This paper derives the complete non-perturbative worldsheet S matrix for superstrings on AdS_3 x S^3 x T^4 with mixed flux, revealing an integrable deformation of the pure R-R case, including both massive and massless modes.

Contribution

It provides the off-shell symmetry algebra, representations, and the full S matrix for superstrings with mixed flux, extending understanding of integrability in this background.

Findings

Derived the off-shell symmetry algebra and representations.

Constructed the non-perturbative worldsheet S matrix.

Showed how mixed flux deforms the pure R-R S matrix.

Abstract

We determine the off-shell symmetry algebra and representations of Type IIB superstring theory on $AdS_3\times S^3 \times T^4$ with mixed R-R and NS-NS three-form flux. We use these to derive the non-perturbative worldsheet S matrix of fundamental excitations of the superstring theory. Our analysis includes both massive and massless modes and shows how turning on mixed three-form flux results in an integrable deformation of the S matrix of the pure R-R theory.