A Macdonald refined topological vertex
Abstract
We consider the refined topological vertex of Iqbal et al, as a function of two parameters (x, y), and deform it by introducing Macdonald parameters (q, t), as in the work of Vuletic on plane partitions, to obtain 'a Macdonald refined topological vertex'. In the limit q -> t, we recover the refined topological vertex of Iqbal et al. In the limit x -> y, we obtain a qt-deformation of the topological vertex of Aganagic et al. Copies of the vertex can be glued to obtain qt-deformed 5D instanton partition functions that have well-defined 4D limits and, for generic values of (q, t), contain infinite-towers of poles for every pole in the limit q -> t.
Cite
@article{arxiv.1701.08541,
title = {A Macdonald refined topological vertex},
author = {Omar Foda and Jian-Feng Wu},
journal= {arXiv preprint arXiv:1701.08541},
year = {2017}
}
Comments
48 pages, added introductory material and references, corrected typos, version to appear in Journal of Physics A Special Issue dedicated to Professor Petr Kulish