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Title:
Non-Invertible Symmetries and Arithmetic
Speaker:
Abstract:
I will begin by explaining how the spectrum of non-invertible symmetries in N=4 SU(p) SYM theory for prime p boils down to some simple statements in modular arithmetic. I will then generalize to an infinite family of 4d N=2 theories obtained by compactifying the 6d (2,0) theory of type A_{p-1} on a genus g Riemann surface with no punctures. As a concrete example, I will provide a classification of all invertible and non-invertible symmetries descending from the modular group Sp(4,Z) at genus 2.
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