Tropical R and Tau Functions

Details Tropical R and Tau Functions Tropical R and Tau Functions

2003-03-07

arxiv.org/abs/math/0303088v2

Commun. Math. Phys. 245 (2004) 491-517

Mathematics

Quantum Algebra

LaTeX2e, 26pages

Scientific paper

10.1007/s00220-003-1015-1

Tropical R is the birational map that intertwines products of geometric crystals and satisfies the Yang-Baxter equation. We show that the D^{(1)}_n tropical R introduced by the authors and its reduction to A^{(2)}_{2n-1} and C^{(1)}_n are equivalent to a system of bilinear difference equations of Hirota type. Associated tropical vertex models admit solutions in terms of tau functions of the BKP and DKP hierarchies.

Affiliated with

Also associated with

No associations

Rating

Tropical R and Tau Functions 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 Tropical R and Tau Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tropical R and Tau Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440747