SPLE club: Argyres Douglas Theories and their OPE Coefficients

June 7, 2022
12:00pm to 1:15pm

IFT, Grey Room 1

Specialist level
Raffaele Savelli
Rome U., Tor Vergata

IFT, Grey Room 1


As a visiting guest, Raffaele Savelli will present the following paper (https://arxiv.org/abs/2112.11899):

"OPE coefficients in Argyres-Douglas theories", Agnese Bissi, Francesco Fucito, Andrea Manenti, José Francisco Morales, Raffaele Savelli.

Argyres-Douglas theories are a special class of N=2 superconformal field theories in four dimensions, featuring an intrinsically strong dynamics. Due to the lack of a Lagrangian description, determining their properties quantitatively is a challenge. I will start by reviewing how Argyres-Douglas theories were first found as special loci in the Coulomb-Branch moduli space of asymptotically-free gauge theories. Then, I will present a general formula which computes (with remarkable precision, compared to the bootstrap bounds) the OPE coefficients between the Coulomb-Branch operators of such theories: Its key feature is that it only depends on geometric data that can be extracted from the Seiberg-Witten curve of the theory.
1. Tachikawa’s lectures: https://arxiv.org/abs/1312.2684 (expecially chapter 10, for a historical review of Argyres-Douglas theories of rank one).
2. The recent review https://arxiv.org/abs/2112.14764 (expecially chapter 3, for a lightening review of Seiberg-Witten theory, and for the Seiberg-Witten geometry of Argyres-Douglas theories).
3. The paper https://arxiv.org/abs/1602.05971 (not strictly necessary for the talk — it shows the localization-based computation of correlation functions, which is where the formula presented in the talk originates from).