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Article Dans Une Revue Progress of Theoretical and Experimental Physics [PTEP] Année : 2014

Duality and integrability of a supermatrix model with an external source

Résumé

We study the Hermitian supermatrix model involving an external source. We derive the determinantal formula for the supermatrix partition function, and also for the expectation value of the characteristic polynomial ratio, which yields the duality between the characteristic polynomial and the external source with an arbitrary matrix potential function. We also show that the supermatrix integral satisfies the one and two dimensional Toda lattice equations as well as the ordinary matrix model.
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Dates et versions

hal-01093305 , version 1 (10-12-2014)

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Citer

Taro Kimura. Duality and integrability of a supermatrix model with an external source. Progress of Theoretical and Experimental Physics [PTEP], 2014, 123, pp.123A01. ⟨10.1093/ptep/ptu163⟩. ⟨hal-01093305⟩
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