The Yang-Baxter equation for PT invariant nineteen vertex models

Details The Yang-Baxter equation for PT invariant nineteen vertex models The Yang-Baxter equation for PT invariant nineteen vertex models

2010-10-06

arxiv.org/abs/1010.1274v1

J.Phys.A44:085205,2011

Physics

Mathematical Physics

43 pages, 6 figures and 5 tables

Scientific paper

10.1088/1751-8113/44/8/085205

We study the solutions of the Yang-Baxter equation associated to nineteen vertex models invariant by the parity-time symmetry from the perspective of algebraic geometry. We determine the form of the algebraic curves constraining the respective Boltzmann weights and found that they possess a universal structure. This allows us to classify the integrable manifolds in four different families reproducing three known models besides uncovering a novel nineteen vertex model in a unified way. The introduction of the spectral parameter on the weights is made via the parameterization of the fundamental algebraic curve which is a conic. The diagonalization of the transfer matrix of the new vertex model and its thermodynamic limit properties are discussed. We point out a connection between the form of the main curve and the nature of the excitations of the corresponding spin-1 chains.

Affiliated with

Also associated with

No associations

Rating

The Yang-Baxter equation for PT invariant nineteen vertex models 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 The Yang-Baxter equation for PT invariant nineteen vertex models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Yang-Baxter equation for PT invariant nineteen vertex models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508423