Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes

TL;DR

This paper calculates the one-loop S-matrix in a simplified model of AdS_5 x S^5 string theory and confirms its consistency with the full model at the quantum level.

Contribution

It provides the first one-loop quantum verification that the reduced sigma-model accurately reflects the full AdS_5 x S^5 string theory.

Findings

One-loop S-matrix matches the full sigma-model limit

Demonstrates quantum-level consistency of the reduction

Supports use of reduced models for quantum calculations

Abstract

We compute one-loop S-matrix in the reduced sigma-model which describes AdS_5 x S^5 string theory in the near-flat-space limit. The result agrees with the corresponding limit of the S-matrix in the full sigma-model, which demonstrates the consistency of the reduction at the quantum level.