The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)

TL;DR

This paper calculates the complete one-loop two-particle S-matrix for excitations in the AdS(3) x S(3) x T(4) background, confirming symmetry properties and trivial scattering of massless bosons at two loops.

Contribution

It provides the first full one-loop S-matrix computation for this background, clarifying the behavior of massless scattering and supporting the trivialization of the additional su(2) sector.

Findings

S-matrix respects expected symmetries

Massless boson scattering is trivial at two loops

Supports trivialization of the su(2) S-matrix in the massless sector

Abstract

We compute the full one-loop 2-particle S-matrix for excitations of the type IIB AdS(3) x S(3) x T(4) BMN string. The S-matrix is found to respect the expected symmetries and the phases are consistent with the crossing equations. By analyzing how the relevant integrals scale with the IR regulator we show that scattering of massless bosons is trivial at two loops. Based on our results we argue that the additional su(2) S-matrix appearing in the massless sector in the exact solution should trivialize.