Perturbative study of the transfer matrix on the string worldsheet in AdS$_5$xS$^5$
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| Description: |
Mikhailov, A (Caltech)
Friday 14 December 2007, 10:15-10:55 Integrability and the Gauge/String Correspondence |
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| Created: | 2008-01-08 13:42 | ||
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| Collection: | Strong Fields, Integrability and Strings | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Mikhailov, A | ||
| Language: | eng (English) | ||
| Credits: |
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| 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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