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

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

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Mathematical Physics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/217517

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.1226
 http://arxiv.org/abs/0801.1226
 J.Math.Phys.49:063510,2008
 doi:10.1063/1.2940572

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arXiv