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Nikolay Gromov et al JHEP12(2008)013 doi:10.1088/1126-6708/2008/12/013

Efficient precision quantization in AdS/CFT

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Nikolay Gromov1,2,3, Sakura Schäfer-Nameki4 and Pedro Vieira2,5

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Abstract References Cited By
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 × S5 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.

Keywords

Superstrings and Heterotic Strings

Integrable Field Theories

AdS-CFT and dS-CFT Correspondence

 

E-print Number: 0807.4752

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.25.Sq Nonperturbative techniques; string field theory

Subjects

Particle physics and field theory

Dates

Issue 12 (December 2008)

Received 21 October 2008, accepted for publication 6 November 2008

Published 2 December 2008



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