RG flows of non-diagonal minimal models perturbed by $φ_{1,3}$

Details RG flows of non-diagonal minimal models perturbed by $φ_{1,3}$ RG flows of non-diagonal minimal models perturbed by $φ_{1,3}$

1991-10-04

arxiv.org/abs/hep-th/9110018v1

Phys.Lett. B274 (1992) 345-351

Physics

High Energy Physics

High Energy Physics - Theory

14 pp

Scientific paper

10.1016/0370-2693(92)91996-M

Studying perturbatively, for large m, the torus partition function of both (A,A) and (A,D) series of minimal models in the Cappelli, Itzykson, Zuber classification, deformed by the least relevant operator $\phi_{(1,3)}$, we disentangle the structure of $\phi_{1,3}$ flows. The results are conjectured on reasonable ground to be valid for all m. They show that (A,A) models always flow to (A,A) and (A,D) ones to (A,D). No hopping between the two series is possible. Also, we give arguments that there exist 3 isolated flows (E,A)-->(A,E) that, together with the two series, should exhaust all the possible $\phi_{1,3}$ flows. Conservation (and symmetry breaking) of non-local currents along the flows is discussed and put in relation to the A,D,E classification.

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