Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k_1/2k_2)

Details Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k_1/2k_2) Derivation of the Supersymmetric Harish--Chandra Integral for UOSp(k_1/2k_2)

2002-12-19

arxiv.org/abs/math-ph/0212060v1

Physics

Mathematical Physics

Scientific paper

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.

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