PIRSA:23120053

Reading between the sections of the Seiberg-Witten curve

Closset, C. (2023). Reading between the sections of the Seiberg-Witten curve. Perimeter Institute. https://pirsa.org/23120053

Closset, Cyril. Reading between the sections of the Seiberg-Witten curve. Perimeter Institute, Dec. 12, 2023, https://pirsa.org/23120053 

          @misc{ pirsa_PIRSA:23120053,
            doi = {10.48660/23120053},
            url = {https://pirsa.org/23120053},
            author = {Closset, Cyril},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Reading between the sections of the Seiberg-Witten curve},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {dec},
            note = {PIRSA:23120053 see, \url{https://pirsa.org}}
          }

Cyril Closset

University of Oxford

Talk number
PIRSA:23120053
Collection
Talk Type
Subject
Abstract

I will explore subtle aspects of rank-one 4d N=2 supersymmetric QFTs through their low-energy Coulomb-branch physics. The low-energy Lagrangian is famously encoded in "the Seiberg-Witten (SW) curve", which is a one-parameter family of elliptic curves. Here I will explain precisely how "global" aspects of the SQFT such as its spectrum of lines, which cannot be read off from the Lagrangian, are encoded into the SW curve -- more precisely, how they are encoded in its Mordell-Weil group of rational sections. In particular, I will
discuss in detail the difference between the pure SU(2) and the pure SO(3) N=2 SYM theories from this low-energy perspective. I will also comment on the global forms of rank-one 5d SCFTs compactified on a circle.

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Zoom link https://pitp.zoom.us/j/94967350368?pwd=SHZZUnZNL3ZveFc3NElCaVc5YkY3Zz09