Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k_1/2k_2)
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The previous supersymmetric generalization of the unitary Harish--Chandra integral prompted the conjecture that the Harish--Chandra formula should extend to all classical supergroups. We prove this conjecture for the unitary orthosymplectic supergroup UOSp(k_1/2k_2). To this end, we construct and solve an eigenvalue equation.
Keywords
Cite
@article{arxiv.math-ph/0212060,
title = {Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k_1/2k_2)},
author = {Thomas Guhr and Heiner Kohler},
journal= {arXiv preprint arXiv:math-ph/0212060},
year = {2007}
}