Integrable 3D lattice model in M-theory
High Energy Physics - Theory
2023-01-11 v3 Mathematical Physics
math.MP
Abstract
It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable three-dimensional lattice model. The local Boltzmann weights of the lattice model satisfy a generalization of Zamolodchikov's tetrahedron equation. In a special case the model is described by a solution of the tetrahedron equation discovered by Kapranov and Voevodsky and by Bazhanov and Sergeev.
Keywords
Cite
@article{arxiv.2203.09706,
title = {Integrable 3D lattice model in M-theory},
author = {Junya Yagi},
journal= {arXiv preprint arXiv:2203.09706},
year = {2023}
}
Comments
37 pages. v2: references added. v3: minor changes, published version