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 ø(1,3), we disentangle the structure of the ø1,3 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 exists three isolated flows (E, A) → (A, E) that, together with the two series, should exhaust all the possible ø1,3 flows. Conservation (and symmetry breaking) of non-local currents along the flows is discussed and put in relation to the A, D, E classification. © 1992.
RG flows of non-diagonal minimal models perturbed by ø1,3 / Ravanini F.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 274:3-4(1992), pp. 345-351. [10.1016/0370-2693(92)91996-M]
RG flows of non-diagonal minimal models perturbed by ø1,3
Ravanini F.
1992
Abstract
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 ø(1,3), we disentangle the structure of the ø1,3 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 exists three isolated flows (E, A) → (A, E) that, together with the two series, should exhaust all the possible ø1,3 flows. Conservation (and symmetry breaking) of non-local currents along the flows is discussed and put in relation to the A, D, E classification. © 1992.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
