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Journal of High Energy Physics

, 2016:106

First Online: 18 November 2016Received: 30 August 2016Accepted: 07 November 2016 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 SU2 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.

KeywordsConformal and W Symmetry Supersymmetric gauge theory Wilson, ’t Hooft and Polyakov loops ArXiv ePrint: 1606.08429

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Autor: Clay Córdova - Davide Gaiotto - Shu-Heng Shao


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