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Lie Group Quantum Mathematics Seminar

Permutation orbifold subalgebras of Virasoro vertex algebras

Christopher Sadowski, Ursinus College

Location:  Zoom
Date & time: Friday, 23 April 2021 at 12:00PM - 1:00PM

Abstract In this talk, we examine certain permutation orbifold subalgebras (fixed-point subalgebras) of tensor powers of Virasoro vertex operator algebras under certain group actions. In particular, we determine the strong generators of these subalgebras and point out isomorphisms between these subalgebras at certain central charges and W-algebras. The search for these strong generators makes heavy use of Mathematica. In this talk, we will demonstrate exactly how such computations are performed with live examples. One of the primary aims of this talk is to demonstrate the usefulness of computers in the study of examples of vertex operator algebras, and to promote the use of computer algebra software to derive results that would be difficult to obtain by hand.

This talk is based on joint work with Antun Milas and Michael Penn.

Zoom link
Meeting ID: 939 2146 5287
Passcode: 196884

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