Published December 2, 2008 | Version Accepted Version + Published
Journal Article Open

Efficient precision quantization in AdS/CFT

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.

Attached Files

Published - GROjhep08.pdf

Accepted Version - arXiv-0807.4752v2.pdf

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Additional details

Identifiers

Eprint ID
12513
Resolver ID
CaltechAUTHORS:GROjhep08

Related works

Funding

Russian State Grant for Scientific Schools
RSGSS-1124.2003.2
Russian Foundation for Basic Research (RFBR)
08-02-00287
L'Agence Nationale de la Recherche (ANR) (France)
ANR36ADSCSTZ
John A. McCone fellowship
Fundação para a Ciência e a Tecnologia (Portugal)
SFRH/BD/17959/2004/0WA9

Dates

Created
2008-12-12
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field

Caltech Custom Metadata

Other Numbering System Name
CALT
Other Numbering System Identifier
CALT-68-2695