Integrable 3D lattice model in M-theory
arXiv:2203.09706 · doi:10.1007/JHEP01(2023)022
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.
37 pages. v2: references added. v3: minor changes, published version
References in corpus (10)
- Ω-deformation and quantization
- Quivers, YBE and 3-manifolds
- Open M5-branes
- Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence
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- Wilson-'t Hooft lines as transfer matrices
- Correlators on the wall and spin chain
- Branes and integrable lattice models
- Tetrahedron equations and nilpotent subalgebras of U_q(sl_n)
- Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras