Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS3
Abstract
We consider some unitary representations of infinite dimensional Lie algebras motivated by string theory on AdS3. 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 AdS3 exists.
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