Supersymmetry in Random Matrix Theory

Details Supersymmetry in Random Matrix Theory Supersymmetry in Random Matrix Theory

2010-05-06

arxiv.org/abs/1005.0979v1

Physics

Mathematical Physics

21 pages, invited contribution to the Oxford Handbook of Random Matrix Theory

Scientific paper

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.

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