π-TYPE FERMIONS AND π-TYPE KP HIERARCHY

In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π-type symmetric functions Sλπ from the π-type Boson–Fermion correspondence, analogously to the...

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Bibliographic Details
Published inGlasgow mathematical journal Vol. 61; no. 3; pp. 601 - 613
Main Authors WANG, NA, LI, CHUANZHONG
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.2019
Subjects
Fermions
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Summary:In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π-type symmetric functions Sλπ from the π-type Boson–Fermion correspondence, analogously to the way we get the Schur functions Sλ from the classical Boson–Fermion correspondence (which is the same thing as the Jacobi–Trudi formula). Then as a generalization of KP hierarchy, we construct the π-type KP hierarchy and obtain its tau functions.
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ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089518000381