Organized by:
- Tomoyuki Arakawa (Kyoto University)
- Christopher Beem (University of Oxford)
- Thomas Creutzig (University of Albert)
- Leonardo Rastelli (Stony Brook University)
- Brandon Rayhaun (Stony Brook University)
Supersymmetric quantum field theories (SQFTs) have been intensely researched by both physicists and mathematicians for decades. For physicists, they furnish computationally and conceptually tractable models from which one may hope to extract general lessons about quantum field theory. On the other hand, supersymmetry also often equips such theories with additional structures, both algebraic and geometric, which are mathematically rich and warrant study in their own right. This event focuses on SQFTs of diverse dimension, the geometry of their moduli spaces of vacua, and the algebras formed by their supersymmetry-preserving operators, particularly when these take the form of a vertex operator algebra. The interplay between these three subjects bears fruit; a better understanding of any one of the three enriches both of the other two. This program offers an opportunity for both physicists and mathematicians working on all three subjects to meet and share ideas, techniques, and inspiration.
This program will also be hosting a workshop: Symplectic Singularities, Supersymmetric QFT, and Geometric Representation Theory- March 31st – April 4, 2025.
Tuesday 3/18/25: 11:15AM – Seminar Room – 313
Speaker: Chris Beem
Title: Mini course: Introduction to the VOA/SCFT Correspondence Part 1
Wednesday 3/19/25: 11:15AM – Seminar Room – 313
Speaker: Chris Beem
Title: Mini course: Introduction to the VOA/SCFT Correspondence Part 2
2:00PM – Seminar Room – 313
Speaker: Niklas Garner
Title: 3d N=4 Rank 0 SCFTs and a Conjecture of Warnaar and Zudilin
Thursday 3/20/25: 11:15AM – Seminar Room – 313
Speaker: Chris Beem
Title: Mini course: Introduction to the VOA/SCFT Correspondence Part 3
Friday 3/21/25 11:15AM – Seminar Room – 313
Speaker: Jinwei Yang
Title: Representation and tensor category of affine Lie algebras at positive rational levels
Week 1 Abstracts
Tuesday 3/25/25: 11:15AM – Seminar Room – 313
Speaker: Thomas Creutzig
Title: Good free field realizations
Wednesday 3/26/25: 11:15AM – Seminar Room – 313
Speaker: Tomoyuki Arakawa
Title: Mini Course 1: Symplectic singularities and vertex algebras
2:00PM – Seminar Room – 313
Speaker: Mykola Dedushenko
Title: Recent developments on VOAs in 4d and 3d systems
Thursday 3/27/25: 11:15AM – Seminar Room – 313
Speaker: Tomoyuki Arakawa: Symplectic singularities and vertex algebras
Title: Mini Course 2
Friday 3/28/25 11:15AM – Seminar Room – 313
Speaker: Tomoyuki Arakawa: Symplectic singularities and vertex algebras
Title: Mini Course 3
Week 2 Abstracts
WEEK 3:workshop: Symplectic Singularities, Supersymmetric QFT, and Geometric Representation Theory- March 31st – April 4, 2025.
Tuesday 4/8/25: 11:15AM – Seminar Room – 313
Speaker: Matthew Buican
Title: Coulomb Branch Operator Algebras and the 2d VOA /4d N=2 SCFT Correspondence
Wednesday 4/9/25: 11:15AM – Seminar Room – 313
Speaker: Jethro van Ekeren
Title: Some exceptional W-algebras from exceptional Lie algebras
Thursday 4/10/25: 2:00PM – Seminar Room – 313
Speaker: Justin Kulp
Title: Higher Brackets, BRST Anomalies, and Non-Renormalization
Friday 4/11/25 11:15AM – Seminar Room – 313
Speaker: Wenbin Yan
Title: The 4d mirror symmetry
Week 4 Abstracts
Tuesday 4/15/25: 11:15AM – Seminar Room – 313
Speaker: Angela Gibney
Title: Mini course 1: Algebraic structures on moduli of curves from representations of VOAs
2:00PM – Seminar Room – 313
Speaker: Angela Gibney
Title: Mini Course 2: Algebraic structures on moduli of curves from representations of VOAs
Wednesday 4/16/25: 11:15AM – Seminar Room – 313
Speaker: Angela Gibney
Title: Mini Course 3: Algebraic structures on moduli of curves from representations of VOAs
Thursday 4/17/25: 11:15AM – Seminar Room – 313
Speaker: Tomas Prochazka
Title: On W infinity and ODE/IM correspondence
Friday 4/18/25 11:15AM – Seminar Room – 313
Speaker: Terry Gannon
Title: The search for exotic CFTs
Week 5 Abstracts
