Supersymmetry in Random Matrix Theory
arXiv:1005.0979
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.
21 pages, invited contribution to the Oxford Handbook of Random Matrix Theory
Cited by in corpus (5)
- Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results
- Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT
- GUE-chGUE Transition preserving Chirality at finite Matrix Size
- Symmetry Crossover Protecting Chirality in Dirac Spectra
- Local Tail Statistics of Heavy-Tailed Random Matrix Ensembles with Unitary Invariance