The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model
Quantum Algebra
2009-11-10 v2 Mathematical Physics
math.MP
Abstract
The space of local operators in the SU(2) invariant Thirring model (SU(2) ITM) is studied by the form factor bootstrap method. By constructing sets of form factors explicitly we define a susbspace of operators which has the same character as the level one integrable highest weight representation of \hat{sl_2}. This makes a correspondence between this subspace and the chiral space of local operators in the underlying conformal field theory, the su(2) Wess-Zumino-Witten model at level one.
Keywords
Cite
@article{arxiv.math/0303192,
title = {The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model},
author = {Atsushi Nakayashiki},
journal= {arXiv preprint arXiv:math/0303192},
year = {2009}
}
Comments
19 pages, typos are corrected, Accepted for publication in Comm. Math. Phys