Seminar detail: Fermionic CFTs from topological boundaries in abelian Chern-Simons theories

Date&Time	Tue Dec 09 2025 (17:00 - 18:00)
Speaker	Takuya Okuda
Affiliation	University of Tokyo, Komaba
Title	Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
Abstract	A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it. We explore fermionic conformal field theories (CFTs) that emerge from bosonic abelian Chern-Simons theories, playing the role of a symmetry topological field theory, by imposing topological boundary conditions. When the Chern-Simons theory is associated with the root lattice of a simply laced Lie algebra, this approach yields a fermionic CFT with a level-one affine Lie algebra symmetry. As an application, we consider the Chern-Simons theories corresponding to a class of supersymmetric vertex operator algebras studied by Johnson-Freyd and classify their fermionic topological boundary conditions that give rise to supersymmetric CFTs.
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