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Chevalley's restriction theorem for reductive symmetric superpairs
Alexander Alldridge, Joachim Hilgert, Martin R. Zirnbauer
Let (g,k) be a reductive symmetric superpair of even type, i.e. so that there exists an even Cartan subspace a in p. The restriction map S(p^*)^k->S(a^*)^W where W=W(g_0:a) is the…
Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
K. Splittorff, J. J. M. Verbaarschot, M. R. Zirnbauer
We discuss the supersymmetric formulation of the nonhermitian random matrix partition function with one bosonic flavor. This partition function is regularized by adding one…
Hyperbolic Hubbard-Stratonovich transformation made rigorous
Y. V. Fyodorov, Y. Wei, M. R. Zirnbauer
We revisit a long standing issue in the theory of disordered electron systems and their effective description by a non-linear sigma model: the hyperbolic Hubbard-Stratonovich (HS)…