乔稼欣 博士学术报告
Title: Twist accumulation in conformal field theory
Speaker: Dr. Jiaxin Qiao （乔稼欣）
Affiliation: École Polytechnique Fédérale de Lausanne (EPFL), Switzerland
Time:16:00-17:00, Tuesday, 28th Feburary, 2023 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Zhijin Li （李志金）
Abstract
In the CFT literature, there are two well-known claims:
- In any unitary CFT, a twist gap in the spectrum of operator product expansion of identical scalar primary operators (with scaling dimension Δ) implies the existence of a family of primary operators with arbitrarily large spin and twist arbitrarily close to 2Δ.
- In any 2d CFT (with Virasoro symmetry, modular invariance, c>1) with a normalizable vacuum and a twist gap in the spectrum of Virasoro primaries, there exists a family of Virasoro primaries with h arbitrarily large and hbar arbitrarily close to (c-1)/24.
They are based on some (non-rigorous) CFT arguments which are called the “light-cone bootstrap”. In this talk, I will present a proof of the two claims, and some potential generalizations. The talk will be based on [arxiv: 2212.04893].
About the Speaker
Dr. Jiaxin Qiao is a postdoctoral researcher at École Polytechnique Fédérale de Lausanne (EPFL), Switzerland. He finished his Ph.D. at École Normale Supérieure – PSL (ENS-PSL) in Paris in 2022, under the supervision of Professor Slava Rychkov. Jiaxin’s main research interests focus on understanding strongly coupled quantum field theories. He is currently working on the topics of analytic conformal bootstrap, scattering amplitudes and QCD.
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc