Excited states in some simple perturbed conformal field theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0550-3213(97)00838-9

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 $\varphi_{13}$ 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.

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