SOS model partition function and the elliptic weight functions

Details SOS model partition function and the elliptic weight functions SOS model partition function and the elliptic weight functions

2008-02-01

arxiv.org/abs/0802.0195v1

Mathematics

Quantum Algebra

21 pages, 5 figures, requires iopart package

Scientific paper

10.1088/1751-8113/41/29/295204

We generalize a recent observation [arXiv:math/0610433] that the partition function of the 6-vertex model with domain-wall boundary conditions can be obtained by computing the projections of the product of the total currents in the quantum affine algebra $U_{q}(\hat{\mathfrak{sl}}_{2})$ in its current realization. A generalization is proved for the the elliptic current algebra [arXiv:q-alg/9703018,arXiv:q-alg/9601022]. The projections of the product of total currents are calculated explicitly and are represented as integral transforms of the product of the total currents. We prove that the kernel of this transform is proportional to the partition function of the SOS model with domain-wall boundary conditions.

Affiliated with

Also associated with

No associations

Rating

SOS model partition function and the elliptic weight 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 SOS model partition function and the elliptic weight functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SOS model partition function and the elliptic weight functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-189312