3-8 February 2019
Lecture Hall(1F), Kavli IPMU
Asia/Tokyo timezone

Non-unitary modular categories from the Coulomb branch

5 Feb 2019, 14:00
Lecture Hall(1F), Kavli IPMU

Lecture Hall(1F), Kavli IPMU


Du Pei


We propose a new link between the geometry of moduli spaces and the representation theory of vertex operator algebras. The construction goes through a class of four-dimensional quantum field theories that are said to satisfy "property F". Each such theory gives rise to a family of modular tensor categories, whose algebraic structures are intimately related to the geometry of the Coulomb branch. This is based on joint work with Mykola Dedushenko, Sergei Gukov, Hiraku Nakajima and Ke Ye.

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