Abstract
We conjecture a formula for the Schur index of four-dimensional \( \mathcal{N}=2 \) 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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Córdova, C., Gaiotto, D. & Shao, SH. Infrared computations of defect Schur indices. J. High Energ. Phys. 2016, 106 (2016). https://doi.org/10.1007/JHEP11(2016)106
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DOI: https://doi.org/10.1007/JHEP11(2016)106