Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices
Exactly Solvable and Integrable Systems
2011-07-21 v2 High Energy Physics - Theory
Abstract
We study properties of transfer matrices in the sl(N) spin chain models. The transfer matrices with an infinite dimensional auxiliary space are factorized into the product of N commuting Baxter Q-operators. We consider the transfer matrices with auxiliary spaces of a special type (including the finite dimensional ones). It is shown that they can be represented as the alternating sum over the transfer matrices with infinite dimensional auxiliary spaces. We show that certain combinations of the Baxter Q-operators can be identified with the Q-functions which appear in the Nested Bethe Ansatz.
Keywords
Cite
@article{arxiv.1008.4734,
title = {Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices},
author = {S. E. Derkachov and A. N. Manashov},
journal= {arXiv preprint arXiv:1008.4734},
year = {2011}
}
Comments
17 pages, typos fixed, references added, version accepted for publication in Lett. Math. Phys