Representations of Lie Superalgebras and Knizhnik-Zamolodchikov Equations II

In this project, we will study the correlation functions, Bethe vectors for Gaudin Hamiltonians related to the solutions of Knizhnik-Zamolodchikov equations in the super settings for the classical Lie superalgebras of types A, B, C and D. We will also study the solution spaces of the quantum super KZ equations. Finally, Bethe vectors for Gaudin Hamiltonian and the construction of the solutions for the quantum KZ equations associated to the quantum supergroups of types A, B, C and D from the Bethe vectors will be study.