Advances in Theoretical and Mathematical Physics

Volume 24 (2020)

Number 1

Branes and categorifying integrable lattice models

Pages: 1 – 24

DOI: https://dx.doi.org/10.4310/ATMP.2020.v24.n1.a1

Authors

Meer Ashwinkumar (Department of Physics, National University of Singapore)

Meng-Chwan Tan (Department of Physics, National University of Singapore)

Qin Zhao (Department of Physics, National University of Singapore)

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.

Published 22 May 2020