2D Heisenberg model from rotating membrane
High Energy Physics - Theory
2008-11-26 v1
Abstract
We study a rotating probe membrane in S^3 inside AdS_4 x S^7 background of M-theory. With (partial) gauge fixing, we show that in the fast limit the worldvolume of tensionless membrane reduces to either the XXX_1/2 spin chain or the two-dimensional SU(2) Heisenberg spin model. Later we introduce the anisotropy and couple it to the external magnetic field. We also establish the correspondence for higher dimensional (D)p-branes.
Keywords
Cite
@article{arxiv.0705.2634,
title = {2D Heisenberg model from rotating membrane},
author = {Wen-Yu Wen},
journal= {arXiv preprint arXiv:0705.2634},
year = {2008}
}