Non-highest weight representations of the current algebra $\hat{so}(1,n)$, and Laplace Operators

M. Zyskin

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arXiv · hep-th/9903169

Non-highest weight representations of the current algebra $\hat{so}(1,n)$, and Laplace Operators

M. Zyskin

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Abstract

We constructed canonical non-highest weight unitary irreducible representation of $\hat{so}(1,n)$ 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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M. Zyskin. 2000-01-04. Non-highest weight representations of the current algebra $\hat{so}(1,n)$, and Laplace Operators. https://arxiv.org/abs/hep-th/9903169

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