Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory

TL;DR

This paper develops a holographic dual model for a quantum spin chain using Chern-Simons and scalar fields, accurately reproducing thermodynamic properties and offering a new framework for analyzing one-dimensional quantum many-body systems.

Contribution

It introduces a novel holographic dual theory for the anisotropic Heisenberg spin chain that matches thermodynamic data exactly and enhances understanding of quantum spin systems.

Findings

Exact thermodynamic matching between the dual theory and the spin chain.

Successful construction of a holographic model with Chern-Simons and scalar fields.

New framework for studying one-dimensional quantum many-body systems.

Abstract

We construct a holographic dual theory of one-dimensional anisotropic Heisenberg spin chain, which includes two Chern-Simons gauge fields and a charged scalar field. Thermodynamic quantities of the spin chain at low temperatures, which are exactly calculated from the integrability, are completely reproduced by the dual theory on three-dimensional black hole backgrounds and the exact matching of the parameters between the dual theory and the spin chain is obtained. The holographic dual theory provides a new theoretical framework to analyze the quantum spin chain and one-dimensional quantum many-body systems.