Dear all,
The speaker for tomorrow's Analysis and Probability seminar is Olga Chekeres from UConn, and the title of their talk is "Coadjoint orbits in mathematical physics."
As a reminder, we have moved the seminar to 2:30-3:30 on Fridays this semester. The room is still the same (MONT 313). We will also simulcast the talk on Webex if you are unable to make it in person. The details are after the abstract.
Abstract: Coadjoint orbits are fascinating objects. They arise in gauge theories, as upon quantization they produce gauge invariant quantities defined on curves -- Wilson line observables. Moreover, considering an equivariant extension of the Kirillov symplectic
form on the coadjoint orbit allowed us to define a Wilson surface observable -- a gauge invariant quantity
Coadjoint orbits of the Virasoro group appear in the description of Schwarzian quantum mechanics, a holographic dual of 2-dimensional Jackiw--Teitelboim gravity. It turns out that Schwarzian theories associated to a certain class
of Virasoro coadjoint orbits admit bosonization, i.e. a global Darboux chart in which the corresponding path integral becomes Gaussian. In this chart, correlation functions of bilocal operators, time-ordered and out-of-time ordered, can be computed explicitly.
In my talk I will try to give a brief introduction into mathematics of coadjoint orbits and a fleeting overview of some basic ideas, how they appear in the mentioned contexts. The physics terminology will be explained as well.
Time permitting, I will also comment on the work in progress concerning supersymmetrization of the above construction and the appropriate supergeometric language.
Hybrid A&P Seminar - Spring 2023
Hosted by Matthew Badger
https://uconn-cmr.webex.com/uconn-cmr/j.php?MTID=m6a72f20c1548d804e1f0f8e216e491a4
Friday, February 24, 2023 2:30 PM | 1 hour 10 minutes | (UTC-05:00) Eastern Time (US & Canada)
Occurs every Friday effective 2/24/2023 until 4/28/2023 from 2:30 PM to 3:40 PM, (UTC-05:00) Eastern Time (US & Canada)
Meeting number: 2624 466 5888
Password: bass
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Access code: 262 446 65888
Best,
Sean
