Excited states in some simple perturbed conformal field theories

Abstract

The method of analytic continuation is used to find exact integral equations for a selection of finite-volume energy levels for the non-unitary minimal models $M_{2,2N+3}$ perturbed by their ${\phi }_{13}$ operators. The N=2 case is studied in particular detail. Along the way, we find a number of general results which should be relevant to the study of excited states in other models.

64 pages, Latex, 13 figures included (uses epsf). Figures (with slightly higher resolution) also available on request to the Authors

References in corpus (1)

• Non linear integral equation and excited--states scaling functions in the sine-Gordon model

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