Efficient precision quantization in AdS/CFT

Creators: Gromov, Nikolay; Schäfer-Nameki, Sakura; Vieira, Pedro

Abstract

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS5 × S^5 string theory at one-loop in the world-sheet coupling. First we provide a very general, efficient way to compute the fluctuation frequencies, which allows to determine the energy shift for very general multi-cut solutions. Then we apply this to two-cut solutions, in particular the giant magnon and determine the finite-size corrections at subleading order. The latter are then compared to the finite-size corrections from Lüscher-Klassen-Melzer formulas and found to be in perfect agreement.

Additional Information

© 2008 SISSA. This is an Open Access article. Received 21 October 2008, accepted for publication 6 November 2008. Published 2 December 2008. We thank V. Kazakov for discussions. NG was partially supported by RSGSS-1124.2003.2, by RFBR grant 08-02-00287 and ANR grant INT-AdS/CFT (contract ANR36ADSCSTZ). The work of SSN is supported by John A. McCone Postdoctoral Fellowship. SSN would like to thank the IPMU and the University of Tokyo for hospitality during some stages of this work. PV is funded by the Fundação para a Ciência e a Tecnologia fellowship SFRH/BD/17959/2004/0WA9. PV would like to thank KITP for warm hospitality. PV would like to thank California Institute of Technology where part of this work was done for warm hospitality.

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Published - GROjhep08.pdf

Accepted Version - arXiv-0807.4752v2.pdf

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