• A FIELD ALGEBRA STRUCTURE ON THE REPRESENTATION OF THE AFFINE LIE ALGEBRA...

TIANZENG LI, YU WANG*

Abstract


In this paper, the vertex operator structure on the representation of the affine algebra associated with is studied by the representation theory of Lie algebra. Then, it is proved that the representation  can be constructed a field algebra according to calculus methods of formal distributions, and the conformal vector on the field algebra is given.


Keywords


vertex operator; field algebra; n-th product.

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