Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-05-17
Int.J.Mod.Phys. A11 (1996) 4051-4064
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 2 eps figures, enlarged version to appear in IJMPA
Scientific paper
10.1142/S0217751X96001905
In the Thermodynamic Bethe Ansatz approach to 2D integrable, ADE-related quantum field theories one derives a set of algebraic functional equations (a Y-system) which play a prominent role. This set of equations is mapped into the problem of finding finite triangulations of certain 3D manifolds. This mapping allows us to find a general explanation of the periodicity of the Y-system. For the $A_N$ related theories and more generally for the various restrictions of the fractionally-supersymmetric sine-Gordon models, we find an explicit, surprisingly simple solution of such functional equations in terms of a single unknown function of the rapidity. The recently-found dilogarithm functional equations associated to the Y-system simply express the invariance of the volume of a manifold for deformations of its triangulations.
Gliozzi Ferdinando
Tateo Roberto
No associations
LandOfFree
Thermodynamic Bethe Ansatz and Threefold Triangulations 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 Thermodynamic Bethe Ansatz and Threefold Triangulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamic Bethe Ansatz and Threefold Triangulations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-588529