Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k1/2k2)
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(k1/2k2). To this end, we construct and solve an eigenvalue equation.
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