Abstract:Based on [2204.02997] and [1706.09977], we are going to review the construction of holomorphic-topological (HT) Chern-Simons-Matter theories on 3-manifolds with transverse holomorphic foliation (THF) via BV-BRST formalism with short brief introduction. We introduce twisted (super)fields for non-supersymmetric CSM and generalize them to HT-twisted N=2 CSM theories
Abstract:The tetrahedron equation, a three-dimensional analogue of the Yang-Baxter equation, is the fundamental relation in studying three-dimensional integrable systems. In this talk, I will discuss the construction of solutions of the tetrahedron equation using cluster algebra, based on work with my supervisor, Junya Yagi (arXiv:2211.10702) and further developed with Rei Inoue, Atsuo Kuniba,...