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

M. Zyskin

paper

Non-highest weight representations of the current algebra $so^(1, n)$ , and Laplace Operators

arXiv:hep-th/9903169

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.

Replaced by revised version

Non-highest weight representations of the current algebra so^(1,n), and Laplace Operators

Abstract

Non-highest weight representations of the current algebra $so^(1, n)$ , and Laplace Operators