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Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3

Oleg Andreev
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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.

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Oleg Andreev. 1999-05-09. Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3. https://doi.org/10.1016/s0550-3213(99)00513-1

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