Duality in Liouville Theory as a Reduced Symmetry

O'Raifeartaigh, L. and Sreedhar, V. V. (1999) Duality in Liouville Theory as a Reduced Symmetry. (Unpublished)

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Abstract

The origin of the rather mysterious duality symmetry found in quantum Liouville theory is investigated by considering the Liouville theory as the reduction of a WZW-like theory in which the form of the potential for the Cartan field is not fixed a priori. It is shown that in the classical theory conformal invariance places no condition on the form of the potential, but the conformal invariance of the classical reduction requires that it be an exponential. In contrast, the quantum theory requires that, even before reduction, the potential be a sum of two exponentials. The duality of these two exponentials is the fore-runner of the Liouville duality. An interpretation for the reflection symmetry found in quantum Liouville theory is also obtained along similar lines.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 13:50
Last Modified:	21 Dec 2022 15:51
URI:	https://dair.dias.ie/id/eprint/565

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