Coupled Hall-Littlewood functions, vertex operators and the $q$-boson model
Mathematical Physics
2017-12-15 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we firstly give the definition of the coupled Hall-Littlewood function and its realization in terms of vertex operators. Then we construct the representation of the two-site generalized -boson model in the algebra of coupled Hall-Littlewood functions. Finally, we find that the vertex operators which generate coupled Hall-Littlewood functions can also be used to obtain the partition function of the A-model topological string on the conifold.
Keywords
Cite
@article{arxiv.1712.05093,
title = {Coupled Hall-Littlewood functions, vertex operators and the $q$-boson model},
author = {Na Wang and Chuanzhong Li},
journal= {arXiv preprint arXiv:1712.05093},
year = {2017}
}
Comments
16 Pages