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gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit

Prinsloo, AH (2006) gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit JHEP0601:050,2006, 2006 (1).

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Abstract

A 3-parameter generalization of the Lunin-Maldacena background has recently been constructed by Frolov. This gamma_i-deformed background is non-supersymmetric. We consider strings in this gamma_i-deformed R \times S^5 background rotating in three orthogonal planes (the 3-spin sector) in a fast motion limit, in which the total angular momentum J is assumed to be large. We show that there exists a consistent transformation which takes the undeformed equations of motion into the gamma_i-deformed equations of motion. This transformation is used to construct a Lax pair for the bosonic part of the gamma_i-deformed theory in the fast motion limit. This implies the integrability of the bosonic part of the gamma_i-deformed string sigma model in the fast motion limit.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Prinsloo, AHUNSPECIFIEDUNSPECIFIED
Date : 12 January 2006
Identification Number : 10.1088/1126-6708/2006/01/050
Related URLs :
Additional Information : The original publication is available at http://dx.doi.org/10.1088/1126-6708/2006/01/050
Depositing User : Symplectic Elements
Date Deposited : 24 Nov 2014 10:08
Last Modified : 24 Nov 2014 10:08
URI: http://epubs.surrey.ac.uk/id/eprint/806533

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