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Multiplication of BPS states in VOAs from string theory

Fabian Kertels

Freitag, 15. Januar 2021 14:15Uhr

In the first part of the talk, I will state some generalities about vertex operator algebras (VOAs). This includes a brief outline of how studying these mathematical objects is justified by their importance to conformal field theory.

The second part will contain segments of my PhD thesis project. This will make use of a generalized version of VOAs, which is needed, for instance, to formalize those field theories occurring in string theory. The project aims at a mathematically rigorous definition of an algebra structure on states of minimal energy -- so-called Bogomol'nyi-Prasad-Sommerfield (BPS) states --, which was first introduced by Harvey and Moore. While a significant amount of generalization is still work in progress or beyond the scope of the talk, I will try and demonstrate the main concept in the case of torus compactifications.