Magnons, classical strings and β-deformations | Zendy

ChongSun Chu | Zendy; George Georgiou | Zendy; Valentin V. Khoze | Zendy

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Magnons, classical strings and β-deformations

Author(s) -

ChongSun Chu,

George Georgiou,

Valentin V. Khoze

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/11/093

Subject(s) - magnon , string (physics) , physics , string field theory , integrable system , string duality , string theory , supersymmetry , non critical string theory , gauge theory , mathematical physics , theoretical physics , spin (aerodynamics) , quantum electrodynamics , quantum mechanics , relationship between string theory and quantum field theory , ferromagnetism , quantum gravity , quantum , thermodynamics

Motivated by the recent work of Hofman and Maldacena we construct a classicalstring solution on the beta-deformed AdS_5 \times \tilde{S}^5 background. Thisstring solution is identified with a magnon state of the integrable spin chaindescription of the N=1 supersymmetric beta-deformed gauge theory. The stringsolution carries two angular momenta, an infinite J_1 and a finite J_2 whichclassically can take arbitrary values. It corresponds to the magnon of chargeJ_2 propagating on an infinite spin chain. We derive an exact dispersionrelation for this magnon from string theory.Comment: v2: 15 pages. Improved and extended version, new section added with more details on the interpretation of our solutio

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