1992/07/13 by Francesco Ravanini, F. Ravanini, Angelo Valleriani +3 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1142/s0217751x93000709
published as Int.J.Mod.Phys. A8 (1993) 1707-1728 · 29 pages, Latex (no macros) DFUB-92-11, DFTT-31/92
arxiv created 1992/07/13 · openalex publication_date 1993/04/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We prove a useful identity valid for all ADE minimal S-matrices, that clarifies the transformation of the relative thermodynamic Bethe Ansatz (TBA) from its standard form into the universal one proposed by Al.B.Zamolodchikov. By considering the graph encoding of the system of functional equations for the exponentials of the pseudoenergies, we show that any such system having the same form as those for the ADE TBA's, can be encoded on A,D,E,A/Z2 only. This includes, besides the known ADE diagonal scattering, the set of all SU(2) related \em magnonic TBA's. We explore this class sistematically and find some interesting new massive and massless RG flows. The generalization to classes related to higher rank algebras is briefly presented and an intriguing relation with level-rank duality is signalled.