Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals. (English) Zbl 1152.81526
Summary: 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.
MSC:
| 58C35 | Integration on manifolds; measures on manifolds |
| 20C35 | Applications of group representations to physics and other areas of science |
| 43A85 | Harmonic analysis on homogeneous spaces |
| 58C50 | Analysis on supermanifolds or graded manifolds |
Keywords:
character expansion method; superversion of Leutwyler-Smilga integral; superversion of Berezin-Karpelevich integralReferences:
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