On unitary irreducible representation of so-affine(1,n), action of its universal enveloping algebra, and the Virasoro algebra

Mar, 1999
9 pages
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19971998199901
Abstract:
We constructed canonical non-highest weight unitary irreducible representation of so^(1,n)\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.
  • quantum algebra: SO(1,N)
  • algebra: Virasoro
  • algebra: representation