Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3
arXiv:hep-th/9905002 · doi:10.1016/S0550-3213(99)00513-1
Abstract
We consider some unitary representations of infinite dimensional Lie algebras motivated by string theory on AdS_3. These include examples of two kinds: the A,D,E type affine Lie algebras and the N=4 superconformal algebra. The first presents a new construction for free field representations of affine Lie algebras. The second is of a particular physical interest because it provides some hints that a hybrid of the NSR and GS formulations for string theory on AdS_3 exists.
LaTeX2e, 17 pages, 2 Postscript figures, minor corrections