Magnons, Classical Strings and beta-Deformations

Abstract

Motivated by the recent work of Hofman and Maldacena we construct a classical string solution on the beta-deformed AdS_5 \times \tilde{S}^5 background. This string solution is identified with a magnon state of the integrable spin chain description of the N=1 supersymmetric beta-deformed gauge theory. The string solution carries two angular momenta, an infinite J_1 and a finite J_2 which classically can take arbitrary values. It corresponds to the magnon of charge J_2 propagating on an infinite spin chain. We derive an exact dispersion relation for this magnon from string theory.

v2: 15 pages. Improved and extended version, new section added with more details on the interpretation of our solution

References in corpus (10)

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• Finite-size Effects from Giant Magnons
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Multispin Giant Magnons
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
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Cited by in corpus (25)

• Multispin Giant Magnons
• Gauge invariant finite size spectrum of the giant magnon
• Spiky Strings, Giant Magnons and beta-deformations
• Three-Spin Giant Magnons in AdS_5xS^5
• Large Winding Sector of AdS/CFT
• Aspects of higher curvature terms and U-duality
• On the anatomy of multi-spin magnon and single spike string solutions
• Giant magnons and spiky strings on the conifold
• Semiclassical Quantization of the Giant Magnon
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Near BPS Wilson Loop in beta-deformed Theories
• Aspects of Integrability in AdS/CFT Duality
• On the multi-spin magnon and spike solutions from membranes
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Giant Magnons under NS-NS and Melvin Fields
• Giant Magnons and Spiky Strings on S^3 with B-field
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• D1-brane in beta-Deformed Background
• Fundamental String and D1-brane in I-brane Background
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background