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August 2011 Perturbative study of the transfer matrix on the string worldsheet in ${\rm AdS}^5 \times S_5$
Andrei Mikhailov, Sakura Schäfer-Nameki
Adv. Theor. Math. Phys. 15(4): 913-971 (August 2011).


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 ${\rm AdS}^5 \times S_5$. 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.


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Andrei Mikhailov. Sakura Schäfer-Nameki. "Perturbative study of the transfer matrix on the string worldsheet in ${\rm AdS}^5 \times S_5$." Adv. Theor. Math. Phys. 15 (4) 913 - 971, August 2011.


Published: August 2011
First available in Project Euclid: 11 June 2012

zbMATH: 1253.81111
MathSciNet: MR2929679

Rights: Copyright © 2011 International Press of Boston


Vol.15 • No. 4 • August 2011
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