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Infrared Computations of Defect Schur Indices

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arxiv 1606.08429 v2 pith:R4GTJR4X submitted 2016-06-27 hep-th math.RT

Clay Cordova , Davide Gaiotto , Shu-Heng Shao This is my paper
classification hep-thmath.RT
keywords theoriesdefectindiceslineschuralgebraargyres-douglasconjecture
verification ladder T0 review T1 audit T2 compute T3 formal
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We conjecture a formula for the Schur index of N=2 four-dimensional theories in the presence of boundary conditions and/or line defects, in terms of the low-energy effective Seiberg-Witten description of the system together with massive BPS excitations. We test our proposal in a variety of examples for SU(2) gauge theories, either conformal or asymptotically free. We use the conjecture to compute these defect-enriched Schur indices for theories which lack a Lagrangian description, such as Argyres-Douglas theories. We demonstrate in various examples that line defect indices can be expressed as sums of characters of the associated two-dimensional chiral algebra and that for Argyres-Douglas theories the line defect OPE reduces in the index to the Verlinde algebra.

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Cited by 4 Pith papers

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

  1. Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.

  2. S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

    hep-th 2025-05 conditional novelty 7.0 of 10

    Boundary Wilson and 't Hooft line two-point functions in N=4 SYM match exactly under S-duality, with closed forms from Macdonald polynomials.

  3. Supersymmetric zeta functions and determinants

    hep-th 2025-11 conditional novelty 6.0 of 10

    Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.

  4. Generalized Schur partition functions and RG flows

    hep-th 2025-06 conditional novelty 6.0 of 10

    The generalized Schur partition function of SU(2) N_f=4 SQCD, evaluated at alpha = h^vee_g / 6, reproduces the Schur indices of every SCFT in the Deligne-Cvitanovic rank-one series.

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