Branes and Categorifying Integrable Lattice Models
High Energy Physics - Theory
2020-07-01 v6 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We elucidate how integrable lattice models described by Costello's 4d Chern-Simons theory can be realized via a stack of D4-branes ending on an NS5-brane in type IIA string theory, with D0-branes on the D4-brane worldvolume sourcing a meromorphic RR 1-form, and fundamental strings forming the lattice. This provides us with a nonperturbative integration cycle for the 4d Chern-Simons theory, and by applying T- and S-duality, we show how the R-matrix, the Yang-Baxter equation and the Yangian can be categorified, that is, obtained via the Hilbert space of a 6d gauge theory.
Keywords
Cite
@article{arxiv.1806.02821,
title = {Branes and Categorifying Integrable Lattice Models},
author = {Meer Ashwinkumar and Meng-Chwan Tan and Qin Zhao},
journal= {arXiv preprint arXiv:1806.02821},
year = {2020}
}
Comments
19 pp. Minor improvements and typos corrected. To appear in ATMP