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Weyl symmetry and the Liouville theory

R. Jackiw

Massachusetts Institute of Technology

Abstract: The flat-space conformal invariance and the curved-space Weyl invariance are simply related in dimensions greater than two. In two dimensions, the Liouville theory presents an exceptional situation, which we examine here.

Keywords: Liouville theory, Weyl transformation, locality, action.

Received: 27.10.2005

DOI: 10.4213/tmf2059

 English version: Theoretical and Mathematical Physics, 2006, 148:1, 941–947

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