Thu, 05 Jun 2025
13:30
L5

Seiberg-Witten theory

Harshal Kulkarni
Abstract
Seiberg-Witten theory is a powerful framework for understanding the exact non-perturbative dynamics of 4d $\mathcal{N} = 2$ supersymmetric QFTs. On the Coulomb branch of the moduli space, the low-energy physics is described by an abelian gauge theory with a holomorphic structure constrained by supersymmetry and duality. In this talk, I will explain the emergence of $PSL(2,\mathbb{Z})$ invariance in this effective field theory and how this naturally leads to a fibration of elliptic curves over the Coulomb branch. Focusing on the simplest case of $\mathcal{N} = 2$ SU(2) gauge theory without flavors, I will discuss the singularity structure of the Coulomb branch and the physical significance of these special points. I will conclude by briefly commenting on the central role that the singular structure of the moduli space plays in the classification of 4d $\mathcal{N}=2$ SCFTs.
 

Junior Strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimed at PhD students and post-docs but everyone is welcome.

Ordinals arising as residual finiteness depths
Bridson, M Revista matemática iberoamericana
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit
Carrillo, J Chen, G Yuan, D Zatorska, E Archive for Rational Mechanics and Analysis volume 249 issue 3 (24 Jun 2025)
Mouse liver assembloids model periportal architecture and biliary fibrosis
Dowbaj, A Sljukic, A Niksic, A Landerer, C Delpierre, J Yang, H Lahree, A Kühn, A Beers, D Byrne, H Seifert, S Harrington, H Zerial, M Huch, M Nature volume 644 issue 8076 473-482 (29 May 2025)
Mon, 02 Jun 2025
13:00
C6

Supersymmetry is dying. Should we save it? (Debate Session, ALL ARE WELCOME)

Zhenghao Zhong
Abstract

The rise to fame of supersymmetry since the 1970s shook the world. It held much promise—from explaining naturalness, unifying fundamental forces, to being the ideal candidate for dark matter. But since the LHC (arguably even a bit before that), many of these dreams have been shattered by experiments. Today, the pursuit of supersymmetric theories by the physics community is a mere shadow of its former self.

This symposium is not to discuss whether supersymmetry is useful in the fields of physics and mathematics—it clearly is. Rather, this is a debate about whether its death is natural. We’ve had a crack at it for half a century. Is this the limit of what we can do? Are we any closer to achieving the original goals we set out? Is the death premature, accelerated by a negative campaign from SUSY critics? Or is it the other way around—has it been at death’s door for decades, kept alive only because authoritative figures cannot let go?

Twenty years ago, this wouldn’t even be a debate. Twenty years from now, there may not be any young people working on SUSY at all. This seems like the right time to talk.

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