The Itzykson-Zuber Integral for U(m|n)
Jorge Alfaro, Ricardo Medina, Luis F. Urrutia
TL;DR
This paper computes the Itzykson-Zuber integral for the superunitary group U(m|n), enabling the calculation of non-zero correlations of superunitary matrices, which advances understanding in supersymmetric matrix models.
Contribution
It introduces a method to evaluate the IZ integral for superunitary groups, a novel extension of classical results to supersymmetric settings.
Findings
Explicit formula for the IZ integral for U(m|n)
Identification of non-zero correlations in superunitary matrices
Extension of matrix integral techniques to supersymmetric groups
Abstract
We compute the Itzykson-Zuber (IZ) integral for the superunitary group U(m|n). As a consequence, we are able to find the non-zero correlations of superunitary matrices
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