Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
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.
Keywords
Cite
@article{arxiv.0706.1525,
title = {Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)},
author = {Andrei Mikhailov and Sakura Schafer-Nameki},
journal= {arXiv preprint arXiv:0706.1525},
year = {2007}
}
Comments
52 pages, 5 figures; v3: added explanations and complete proof of the cancellation of the 1-loop logarithmic divergences in Section 6