Duality and integrability of a supermatrix model with an external source

Taro Kimura

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We study the Hermitian supermatrix model involving an external source. We derive the determi-nantal 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 1- and 2D Toda lattice equations as well as the ordinary matrix model.

Original languageEnglish
Article number123A01
JournalProgress of Theoretical and Experimental Physics
Issue number12
Publication statusPublished - 2014
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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