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math-ph2022★ 5 cited
Cluster transformations, the tetrahedron equation and three-dimensional gauge theories
Xiaoyue Sun, Junya Yagi
We define three families of quivers in which the braid relations of the symmetric group are realized by mutations and automorphisms. A sequence of eight braid moves on a redu…
hep-th2022★ 8 cited
Integrable 3D lattice model in M-theory
Junya Yagi
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…