Three dimensional field theories from infinite dimensional lie algebras
Robert Perret
Abstract
A procedure for constructing topological actions from centrally extended Lie groups is introduced. For a \ group, this produces \3al , while for the \ group the result is a new \3al \ whose physical states satisfy the \ . This \ is shown to be a first order formulation of two dimensional induced gravity in the chiral gauge. The extension to W3-gravity is discussed.
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