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Quantum wrapped giant magnon

Gromov, Nikolay and Schäfer-Nameki, Sakura and Vieira, Pedro (2008) Quantum wrapped giant magnon. Physical Review D, 78 (2). Art. No. 026006. ISSN 2470-0010. doi:10.1103/PhysRevD.78.026006.

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Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the fundamental excitation of the light-cone gauged string in AdS5×S^5, which is the giant magnon solution. We present two independent ways to obtain this correction: the first approach makes use of the algebraic curve description of the giant magnon. The second relies on the purely field-theoretical Lüscher formulas, which depend on the world-sheet S-matrix. We demonstrate the agreement to all orders in (Delta/sqrt( lambda ))^-1 of these approaches, which, in particular, presents a further test of the S-matrix. We comment on generalizations of this method of computation to other string configurations.

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Additional Information:© 2008 The American Physical Society. (Received 24 March 2008; published 31 July 2008) We would like to thank T. Dimofte, A. Mikhailov, J. Minahan, R. Janik, V. Kazakov, and K. Zarembo for many useful discussions. The work of N.G. was partially supported by RSGSS-1124.2003.2 and by RFFI Project Grant No. 06-02-16786. N.G. was also partly supported by ANR Grant INT-AdS/CFT (Contract No. ANR36ADSCSTZ). We would like to thank the Isaac Newton Institute in Cambridge for an inspiring atmosphere during the SIS workshop.
Funding AgencyGrant Number
Russian State Grant for Scientific SchoolRSGSS-1124.2003.2
Russian Foundation for Basic Research06-02-16786
Agence Nationale pour la Recherche (ANR)INT-AdS/CFT
Agence Nationale pour la Recherche (ANR)ANR36ADSCSTZ
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Record Number:CaltechAUTHORS:GROprd08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11334
Deposited By: Archive Administrator
Deposited On:02 Aug 2008 04:56
Last Modified:08 Nov 2021 21:57

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