Vertex Tube Algebras Meet Topological Defects

Abstract: Chiral algebras and topological defects represent two complementary notions of symmetries in two-dimensional conformal field theory. In this talk, we will explore the interplay between these two fundamental concepts. In particular, we will address three interconnected questions: How does a chiral algebra act on the defect Hilbert spaces? What happens to a chiral algebra after gauging? And how to incorporate non-local chiral operators into chiral algebras? In answering these questions, we will reveal an intricate mathematical structure underlying two-dimensional conformal field theories, which we refer to as vertex tube algebra, that generalizes both the celebrated vertex operator algebra and the tube algebra familiar from the study of non-invertible symmetries.

condensed mattergeneral relativity and quantum cosmologyHEP - latticeHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

Quantum Theories of Fields, Matter, and Strings

Series comments: A series of talks covering a broad range of topics in theoretical physics, including high energy theory, condensed matter, and string theory.

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