Infrared computations of defect Schur indices

Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng

doi:10.1007/JHEP11(2016)106

Title: Infrared computations of defect Schur indices

Journal Article · Fri Nov 18 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP11(2016)106· OSTI ID:1368084

Córdova, Clay ^[1]; Gaiotto, Davide ^[2]; Shao, Shu-Heng ^[3]

Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; Harvard Univ., Cambridge, MA (United States). Jefferson Physical Lab.

We conjecture a formula for the Schur index of four-dimensional 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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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Harvard Univ., Cambridge, MA (United States)

Grant/Contract Number:: SC0009988

OSTI ID:: 1368084

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 11; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 54 works

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