Non-highest weight representations of the current algebra so(1,n), and Laplace Operators
Abstract
We constructed canonical non-highest weight unitary irreducible representation of so(1,n) current algebra as well as canonical non-highest weight non-unitary representations, We constructed certain Laplacian operators as elements of the universal enveloping algebra, acting in representation space. We speculated about a possible relation of those Laplacians with the loop operator for the Yang-Mills.
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