Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background

Abstract

We analyze the fast-moving string in the magnetic Melvin field background and find that the associated effective Lagrangian of string sigma model describes the spin chain model with external magnetic field. The spin vector in the spin chain has been properly deformed and is living on the deformed two-sphere or deformed two-dimensional hyperboloid, depending on the direction around which the string is spinning. We describe in detail the characters of spin deformation and, in particular, see that this is a general property for a string moving in a class of deformed background.

arXiv commentLatex 10 pages, add a figure and a section, change title

References in corpus (17)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Branes Intersecting at Angles
• D-brane dynamics
• Large N Limit of Non-Commutative Gauge Theories
• Spin chains and string theory
• A WAY TO BREAK SUPERSYMMETRY
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• The SU(3) spin chain sigma model and string theory
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Exact solutions of closed string theory
• SL(2) spin chain and spinning strings on AdS_5xS^5
• Integrable twists in AdS/CFT
• Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime

Cited by in corpus (4)

• Giant Magnons under NS-NS and Melvin Fields
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Spin chain from marginally deformed AdS_3 x S^3
• 2D Heisenberg model from rotating membrane