Duality and integrability of a supermatrix model with an external source

Taro Kimura

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号123A01
ジャーナルProgress of Theoretical and Experimental Physics
2014
12
DOI
出版ステータスPublished - 2014
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学一般

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