Skip to content

Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k1/2k2)

Thomas Guhr, Heiner Kohler

math-pharXiv:math-ph/0212060

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.

Create a lesson