Elliptic Quantum Group U_{q,p}(B_N^{(1)}) and Vertex Operators
Quantum Algebra
2014-07-15 v1
Abstract
Assuming the existence of the L-operators, we study the Hopf algebroid structure of U_{q,p}(B_N^{(1)}). As an application, we derive the type I and II vertex operators, which intertwine the U_{q,p}(B_N^{(1)})-modules of generic level, by assuming some analytic properties of the L-operators. For the level-1 case, we construct their free field realizations and show that the results satisfy the desired commutation relations with coefficients given by the elliptic dynamical R-matrices of the B_N^{(1)} type.
Cite
@article{arxiv.1407.3601,
title = {Elliptic Quantum Group U_{q,p}(B_N^{(1)}) and Vertex Operators},
author = {Hitoshi Konno and Kazuyuki Oshima},
journal= {arXiv preprint arXiv:1407.3601},
year = {2014}
}
Comments
53 pages