In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes t...In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes the super boson-fermion correspondence of type B given by Kac-van de Leur.Based on this isomorphism,we determine explicitly the irreducible components of these two representations.Particularly,we obtain in this way two kinds of systematic construction of level 1 irreducible integrable highest weight modules for twisted general linear affine Lie superalgebras.展开更多
基金supported by National Natural Science Foundation of China(Grant No.12161141001)the Fundamental Research Funds for the Central Universities(Grant No.20720230020)S.Tan is supported by National Natural Science Foundation of China(Grant No.12131018)。
文摘In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes the super boson-fermion correspondence of type B given by Kac-van de Leur.Based on this isomorphism,we determine explicitly the irreducible components of these two representations.Particularly,we obtain in this way two kinds of systematic construction of level 1 irreducible integrable highest weight modules for twisted general linear affine Lie superalgebras.
