Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)

TL;DR

This paper investigates the quantum integrability of string theory in AdS(5)xS(5) by analyzing the transfer matrix and non-local charges, demonstrating one-loop divergence cancellation using the pure spinor formalism.

Contribution

It develops a near-flat space expansion of the transfer matrix and shows one-loop divergence cancellation, supporting quantum integrability of the full string theory.

Findings

Logarithmic divergences cancel at one loop

Supports quantum integrability of AdS(5)xS(5) string theory

Provides a framework for RG analysis of Wilson line operators

Abstract

Quantum non-local charges are central to the quantum integrability of a sigma-model. In this paper we study the quantum consistency and UV finiteness of non-local charges of string theory in AdS(5)xS(5). We use the pure spinor formalism. We develop the near-flat space expansion of the transfer matrix and calculate the one-loop divergences. We find that the logarithmic divergences cancel at the level of one loop. This gives strong support to the quantum integrability of the full string theory. We develop a calculational setup for the renormalization group analysis of Wilson line type of operators on the string worldsheet.