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arXiv · 0802.2660

Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor

K. Splittorff·J. J. M. Verbaarschot·M. R. Zirnbauer
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Abstract

We discuss the supersymmetric formulation of the nonhermitian $β= 2$ random matrix partition function with one bosonic flavor. This partition function is regularized by adding one conjugate boson and fermion each. A supersymmetric nonlinear $σ$-model for the resulting Goldstone degrees of freedom is obtained using symmetry arguments only. For a Gaussian probability distribution the same results are derived using superbosonization and the complex orthogonal polynomial method. The symmetry arguments apply to any model with the same symmetries and a mass gap, and demonstrate the universality of the nonlinear $σ$-model.

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K. Splittorff, J. J. M. Verbaarschot, M. R. Zirnbauer. 2008-06-10. Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor. https://doi.org/10.1016/j.nuclphysb.2008.06.003

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