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γi-deformed Lax pair for rotating strings in the fast motion limit

2005/10/24 by A. H. Prinsloo, Andrea Prinsloo
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/01/050

published as JHEP0601:050,2006 · 21 pages

arxiv created 2005/10/24 · openalex publication_date 2006/01/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A 3-parameter generalization of the Lunin-Maldacena background has recently been constructed by Frolov. This gammai-deformed background is non-supersymmetric. We consider strings in this gammai-deformed R × S5 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 gammai-deformed equations of motion. This transformation is used to construct a Lax pair for the bosonic part of the gammai-deformed theory in the fast motion limit. This implies the integrability of the bosonic part of the gammai-deformed string sigma model in the fast motion limit.

Citations