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Modular Anomaly Equation for Schur Index of $\mathcal{N}=4$ Super-Yang-Mills

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abstract

We propose a novel modular anomaly equation for the unflavored Schur index in the $\mathcal{N}=4$ $SU(N)$ super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are sufficient to recursively compute the exact Schur indices for all $SU(N)$ gauge groups. Using the representations as MacMahon's generalized sum-of-divisors functions and Jacobi forms, we then prove our proposal as well as elucidate a general formula conjectured by Pan and Peelaers.

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hep-th 1

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2024 1

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A landscape of 4d N=1 SCFTs with a=c

hep-th · 2024-12-23 · conditional · novelty 6.0

Starting from an SU(3) gauging of three D2(SU(3)) Argyres-Douglas theories with an adjoint chiral multiplet, the authors map the tree of relevant deformations that preserve a=c and find 21 fixed points, including flows to N=4 SYM.

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  • A landscape of 4d N=1 SCFTs with a=c hep-th · 2024-12-23 · conditional · none · ref 42 · internal anchor

    Starting from an SU(3) gauging of three D2(SU(3)) Argyres-Douglas theories with an adjoint chiral multiplet, the authors map the tree of relevant deformations that preserve a=c and find 21 fixed points, including flows to N=4 SYM.