Supersymmetry in Random Matrix Theory
Mathematical Physics
2012-07-16 v1 math.MP
Abstract
Supersymmetry is nowadays indispensable for many problems in Random Matrix Theory. It is presented here with an emphasis on conceptual and structural issues. An introduction to supermathematics is given. The Hubbard-Stratonovich transformation as well as its generalization and superbosonization are explained. The supersymmetric non-linear sigma model, Brownian motion in superspace and the color-flavor transformation are discussed.
Cite
@article{arxiv.1005.0979,
title = {Supersymmetry in Random Matrix Theory},
author = {Thomas Guhr},
journal= {arXiv preprint arXiv:1005.0979},
year = {2012}
}
Comments
21 pages, invited contribution to the Oxford Handbook of Random Matrix Theory