نبذة مختصرة : We show that the expression for the supersymmetric partition function of the chiral Unitary Ensemble conjectured recently by Splittorff and Verbaarschot [Phys. Rev. Lett. v. 90, 041601 (2003)] follows from the general expression derived recently by Fyodorov and Strahov [ J. Phys. A: Math.Gen.} {\bf 36}(2003) 3203] .
This is a modified published version, with some updated references. Pis'ma v ZhETF v.77 (2003), 513 [Eng. Transl.: JETP Lett. v.77, to appear]
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