Home /  AGRS The Ubiquitous Diff(S^1) Learning Seminar: Virasoro I

Seminar

AGRS The Ubiquitous Diff(S^1) Learning Seminar: Virasoro I February 15, 2022 (01:30 PM PST - 03:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Eveliina Peltola (Rheinische Friedrich-Wilhelms-Universität Bonn)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

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.

No Notes/Supplements Uploaded No Video Files Uploaded