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arXiv:1005.0979 [math-ph]AbstractReferencesReviewsResources

Supersymmetry in Random Matrix Theory

Thomas Guhr

Published 2010-05-06Version 1

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.

Comments: 21 pages, invited contribution to the Oxford Handbook of Random Matrix Theory
Journal: The Oxford Handbook of Random Matrix Theory, Oxford University Press, Oxford, 2011, Pages 135-154
Categories: math-ph, math.MP
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