Derivation of the supersymmetric Harish-Chandra integral for UOSp(k(1)/2k(2))
The previous supersymmetric generalization of the unitary Harish-Chandra integral prompted the conjecture that the Harish-Chandra formula should have an extension to superspaces. We prove this conjecture for the unitary orthosymplectic supermanifold UOSp(k(1)/2k(2)). To this end, we construct and solve an eigenvalue equation.
