Advances in Theoretical and Mathematical Physics
Volume 24 (2020)
Branes and categorifying integrable lattice models
Pages: 1 – 24
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