PrerequisiteLie algebras, representations.AbstractI will start from the reminder of the representation theory of simple finite-dimensional Lie algebras. Then I will define the current algebras and some the most important representations of them. I will explain how are these modules related to some families of orthogonal polynomials, describe the structure of these modules
AbstractWe studied the window shift monodromy in determinantal varieties realized by a GLSM with two gauge groups with a proposed non-abelian window of grassmannian using disk partition function and grade restriction. We obtained the link group decomposition if discriminants in Kahler moduli space and the corresponding massless BPS states for this model
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