Dynkin TBA's

Details Dynkin TBA's Dynkin TBA's

1992-07-13

arxiv.org/abs/hep-th/9207040v1

Int.J.Mod.Phys. A8 (1993) 1707-1728

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Latex (no macros) DFUB-92-11, DFTT-31/92

Scientific paper

10.1142/S0217751X93000709

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 $A,D,E,A/Z_2$ 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.

Affiliated with

Also associated with

No associations

Rating

Dynkin TBA's does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynkin TBA's, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynkin TBA's will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295451