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AGRS The Ubiquitous Diff(S^1) Learning Seminar: Virasoro I February 15, 2022 (01:30 PM PST - 03:00 PM PST)
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Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Eveliina Peltola (Rheinische Friedrich-Wilhelms-Universität Bonn)
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To participate in this seminar, please register HERE.

We plan to introduce the Virasoro algebra and its role as a central extension and its (heuristic) emergence as infinitesimal conformal transformations of the Euclidean plane (after quantization). The main questions are as follows:

What is the Virasoro algebra? (And what is a Lie algebra?)

Why is it an interesting object?

Why is it the canonical choice for a central extension related to the quantized conformal symmetry?

The main difficulty in this topic is related to the dilemma that there does not exist a complex Virasoro group, that would’ve represented a conformal symmetry group for two-dimensional conformal field theory. Hence, one has to think of the conformal symmetry in an infinitesimal form rather than a symmetry given by an honest group.

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