Spin chain from marginally deformed AdS_3 x S^3

Abstract

We derive a spin chain Hamiltonian from a fast spinning string in the marginally deformed AdS(3)X S(3). This corresponds to a closed trajectory swept out by the SU(2) or SL(2) spin vector on the surface of one-parameter deformed two-sphere or hyperboloid in the background of anisotropic magnetic field interaction. In the limit of small deformation, a class of general Landau-Lifshitz equation with a nontrivial anisotropic matrix can be derived.

arXiv comment4 pages, 2 figures, revised for PRD

References in corpus (16)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Classical/quantum integrability in AdS/CFT
• Giant Magnons
• Spin chains and string theory
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Precision Spectroscopy of AdS/CFT
• The SU(3) spin chain sigma model and string theory
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• PP-Wave / CFT_2 Duality
• SL(2) spin chain and spinning strings on AdS_5xS^5
• Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit
• Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background

Cited by in corpus (7)

• Hidden Yangian symmetry in sigma model on squashed sphere
• A deformation of quantum affine algebra in squashed WZNW models
• Giant Magnons and Spiky Strings on S^3 with B-field
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• 2D Heisenberg model from rotating membrane
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
• Spin chains and classical strings in rotating Rindler-AdS space