# SIS

## Seminar

### Perturbative study of the transfer matrix on the string worldsheet in AdS$_5$xS$^5$

Mikhailov, A (Caltech)
Friday 14 December 2007, 10:15-10:55

Seminar Room 1, Newton Institute

#### 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 determine the near-flat space expansion of the transfer matrix and calculate the one-loop divergences. We find that the logarithmic divergences cancel. 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 worldsheet.

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