Three dimensional field theories from infinite dimensional lie algebras

Details Three dimensional field theories from infinite dimensional lie algebras Three dimensional field theories from infinite dimensional lie algebras

1992-09-23

arxiv.org/abs/hep-th/9209087v1

Int. J. Mod. Phys. A9 (1994) 4063

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, USC-92/018

Scientific paper

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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