Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals

Details Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals

2008-01-08

arxiv.org/abs/0801.1226v3

J.Math.Phys.49:063510,2008

Physics

Mathematical Physics

18 pages, 2 figures; added acknowledgment; added appendices, minor changes, as published in J. Math. Phys.

Scientific paper

10.1063/1.2940572

We introduce an extension of the character expansion method to the case of supergroups. This method allows us to calculate a superversion of the Leutwyler-Smilga integral which, to the best of our knowledge, has not been calculated before. We also use the method to generalize a previously calculated superversion of the Berezin-Karpelevich integral. Our character expansion method should also allow for the calculation of other supergroup integrals.

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