CMSA Quantum Matter in Mathematics and Physics: Holomorphic Twists and Confinement in N=1 SYM

SEMINARS, CMSA EVENTS

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October 4, 2022 9:30 am - 11:00 am
via Zoom Video Conferencing
Speaker:

Justin Kulp - Perimeter Institute


Supersymmetric QFT's are of long-standing interest for their high degree of solvability, phenomenological implications, and rich connections to mathematics. In my talk, I will describe how the holomorphic twist isolates the protected quantities which give SUSY QFTs their potency by restricting to the cohomology of one supercharge. I will briefly introduce infinite dimensional symmetry algebras, generalizing Virasoro and Kac-Moody symmetries, which emerge. Finally, I will explain a potential novel UV manifestation of confinement, dubbed "holomorphic confinement," in the example of pure SU(N) super Yang-Mills. Based on arXiv:2207.14321 and 2 forthcoming works with Kasia Budzik, Davide Gaiotto, Brian Williams, Jingxiang Wu, and Matthew Yu.


For more information on how to join, please see: https://cmsa.fas.harvard.edu/event_category/quantum-matter-seminar/