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arXiv · hep-th/9209087

Three dimensional field theories from infinite dimensional lie algebras

Robert Perret
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Abstract

A procedure for constructing topological actions from centrally extended Lie groups is introduced. For a \km\ group, this produces \3al \cs, while for the \vir\ group the result is a new \3al \tft\ whose physical states satisfy the \vir\ \wi. This \tft\ is shown to be a first order formulation of two dimensional induced gravity in the chiral gauge. The extension to $W_3$-gravity is discussed.

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Robert Perret. 1992-09-23. Three dimensional field theories from infinite dimensional lie algebras. https://doi.org/10.1142/s0217751x94001643

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