A large class of Thermodynamic Bethe Ansatz equations governing the Renormalization Group evolution of the Casimir energy of the vacuum on the cylinder for an integrable two-dimensional field theory, can often be encoded on a tensor product of two graphs. We demonstrate here that in this case the two graphs can only be of ADE type. We also give strong numerical evidence for a new large set of Dilogarithm sum Rules connected to ADE × ADE and a simple formula for the ultraviolet perturbing operator conformal dimensions only in terms of rank and Coxeter numbers of ADE × ADE . We conclude with some remarks on the curious case ADE × D.
Quattrini, E., Ravanini, F., Tateo, R. (1995). INTEGRABLE QFT(2) ENCODED ON PRODUCTS OF DYNKIN DIAGRAMS. 233 SPRING ST, NEW YORK, NY 10013 : PLENUM PRESS DIV PLENUM PUBLISHING CORP [10.48550/arXiv.hep-th/9311116].
INTEGRABLE QFT(2) ENCODED ON PRODUCTS OF DYNKIN DIAGRAMS
QUATTRINI, E;RAVANINI, F;
1995
Abstract
A large class of Thermodynamic Bethe Ansatz equations governing the Renormalization Group evolution of the Casimir energy of the vacuum on the cylinder for an integrable two-dimensional field theory, can often be encoded on a tensor product of two graphs. We demonstrate here that in this case the two graphs can only be of ADE type. We also give strong numerical evidence for a new large set of Dilogarithm sum Rules connected to ADE × ADE and a simple formula for the ultraviolet perturbing operator conformal dimensions only in terms of rank and Coxeter numbers of ADE × ADE . We conclude with some remarks on the curious case ADE × D.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
