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Efficient precision quantization in AdS/CFT

Gromov, Nikolay and Schäfer-Nameki, Sakura and Vieira, Pedro (2008) Efficient precision quantization in AdS/CFT. Journal of High Energy Physics, 2008 (12). Art. No. 013. ISSN 1126-6708. doi:10.1088/1126-6708/2008/12/013.

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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.

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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.
Funding AgencyGrant Number
Russian State Grant for Scientific SchoolsRSGSS-1124.2003.2
Russian Foundation for Basic Research (RFBR)08-02-00287
L'Agence Nationale de la Recherche (ANR) (France)ANR36ADSCSTZ
John A. McCone fellowshipUNSPECIFIED
Fundação para a Ciência e a Tecnologia (Portugal)SFRH/BD/17959/2004/0WA9
Subject Keywords:AdS-CFT Correspondence; Superstrings and Heterotic Strings; Integrable Field Theories
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Issue or Number:12
Record Number:CaltechAUTHORS:GROjhep08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12513
Deposited By: Archive Administrator
Deposited On:12 Dec 2008 02:50
Last Modified:08 Nov 2021 22:29

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