Massive-Conformal Dictionary

Details Massive-Conformal Dictionary Massive-Conformal Dictionary

1993-11-10

arxiv.org/abs/hep-th/9311058v1

Int.J.Mod.Phys. A9 (1994) 5753-5768

Physics

High Energy Physics

High Energy Physics - Theory

18/11 pages in harvmac, Tel-Aviv preprint TAUP 2109/93

Scientific paper

The finite-volume spectrum of an integrable massive perturbation of a rational conformal field theory interpolates between massive multi-particle states in infinite volume (IR limit) and conformal states, which are approached at zero volume (UV limit). Each state is labeled in the IR by a set of `Bethe Ansatz quantum numbers', while in the UV limit it is characterized primarily by the conformal dimensions of the conformal field creating it. We present explicit conjectures for the UV conformal dimensions corresponding to any IR state in the $\phi_{1,3}$-perturbed minimal models $M(2,5)$ and $M(3,5)$. The conjectures, which are based on a combinatorial interpretation of the Rogers-Ramanujan-Schur identities, are consistent with numerical results obtained previously for low-lying energy levels.

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