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2016

Infrared Computations of Defect Schur Indices

Cordova, Clay, Gaiotto, Davide, Shao, Shu-Heng

Understand

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.