Young diagrams in an N × M box and the KP hierarchy

In this paper, we firstly find that the multiplications HM(u1)HM(u2)⋯HM(uN) are tau functions of the KP hierarchy for any positive integer numbers M,N, where HM(z) is the generating function of Young diagrams in an 1×M box. Then as applications, we find that the general states and the scalar product...

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Bibliographic Details
Main Author: Na Wang
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318303006