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$\mathcal{N} = 2$ Schur index and line operators

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arxiv 2307.15650 v2 pith:YM5G6ZLE submitted 2023-07-28 hep-th

Zhaoting Guo , Yutong Li , Yiwen Pan , Yufan Wang This is my paper · ORCID
classification hep-th
keywords indexlinemathcaloperatorsschurseriestheoriesclass-
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

4d $\mathcal{N} = 2$ SCFTs and their invariants can be often enriched by non-local BPS operators. In this paper we study the flavored Schur index of several types of N = 2 SCFTs with and without line operators, using a series of new integration formula of elliptic functions and Eisenstein series. We demonstrate how to evaluate analytically the Schur index for a series of $A_2$ class-$\mathcal{S}$ theories and the $\mathcal{N} = 4$ SO(7) theory. For all $A_1$ class-$\mathcal{S}$ theories we obtain closed-form expressions for SU(2) Wilson line index, and 't Hooft line index in some simple cases. We also observe the relation between the line operator index with the characters of the associated chiral algebras. Wilson line index for some other low rank gauge theories are also studied.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Line operator indices of S-fold theories

    hep-th 2026-07 conditional novelty 6.0 of 10

    Line-operator Schur indices for S-fold theories are matched to Wilson-'t Hooft indices in rank-2 N=4 SYM once giant graviton corrections are included, with new fivebrane-junction indices derived for k=3,4,6.

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

    hep-th 2024-12 conditional novelty 6.0 of 10

    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 flow...

  3. Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch

    hep-th 2024-12 conditional novelty 6.0 of 10

    A conjectured 4d mirror symmetry for A1 class-S theories matches simple modules of the Higgs-branch VOA to fixed manifolds of the Hitchin Coulomb branch, with conformal weights and modular Jordan types fixed by moment...

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