Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory
High Energy Physics - Theory
2023-11-03 v2 Statistical Mechanics
Strongly Correlated Electrons
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.
Cite
@article{arxiv.2310.01890,
title = {Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory},
author = {Naoto Yokoi and Yasuyuki Oikawa and Eiji Saitoh},
journal= {arXiv preprint arXiv:2310.01890},
year = {2023}
}
Comments
14 pages, no figure, typos corrected, references added