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The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra
Bintao Cao, Wan Keng Cheong, Ngau Lam
Let be the Gaudin algebra for the general linear Lie (super)algebra with respect to a sequence of…
Verma Bases for finite dimensional Representations of the orthosymplectic Lie superalgebra
Bintao Cao, Ye Huang
We define the Verma vector system for each finite dimensional irreducible representation of the orthosymplectic Lie superalgebra with the highest weight …
Verma Bases and Kashiwara-Nakashima Tableaux of
Bintao Cao, Ye Huang
We construct a one-to-one correspondence between the Verma basis vectors of a finite dimensional irreducible representation of the symplectic Lie algebra a…
Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras
Bintao Cao, Wan Keng Cheong, Ngau Lam
We show that under a generic condition, the quadratic Gaudin Hamiltonians associated to are diagonalizable on any singular weight space in any tensor produ…
Generalized Verma Modules and Character Formulae for
Bintao Cao, Li Luo
The character formula of any finite dimensional irreducible module for Lie superalgebra is obtained in terms of characters of generalized Verma modules.