Spin chain from marginally deformed AdS_3 x S^3

TL;DR

This paper derives a spin chain Hamiltonian from a fast spinning string in a marginally deformed AdS3 x S3 background, revealing how deformation affects the spin dynamics and Landau-Lifshitz equations.

Contribution

It introduces a novel derivation of a spin chain Hamiltonian from string theory in a deformed background, connecting string motion to anisotropic spin models.

Findings

Spin chain Hamiltonian derived from deformed AdS3 x S3 string

Connection established between string trajectories and spin vector surfaces

General Landau-Lifshitz equations with anisotropic matrices obtained

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.