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Title: Infrared computations of defect Schur indices

Abstract

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.

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  2. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  3. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; Harvard Univ., Cambridge, MA (United States). Jefferson Physical Lab.
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Harvard Univ., Cambridge, MA (United States)
OSTI Identifier:
1368084
Grant/Contract Number:  
SC0009988
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Conformal and W Symmetry; Supersymmetric gauge theory; Wilson, ’t Hooft and Polyakov loops

Citation Formats

Córdova, Clay, Gaiotto, Davide, and Shao, Shu-Heng. Infrared computations of defect Schur indices. United States: N. p., 2016. Web. doi:10.1007/JHEP11(2016)106.
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Córdova, Clay, Gaiotto, Davide, & Shao, Shu-Heng. Infrared computations of defect Schur indices. United States. https://doi.org/10.1007/JHEP11(2016)106
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Córdova, Clay, Gaiotto, Davide, and Shao, Shu-Heng. Fri . "Infrared computations of defect Schur indices". United States. https://doi.org/10.1007/JHEP11(2016)106. https://www.osti.gov/servlets/purl/1368084.
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@article{osti_1368084,
title = {Infrared computations of defect Schur indices},
author = {Córdova, Clay and Gaiotto, Davide and Shao, Shu-Heng},
abstractNote = {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.},
doi = {10.1007/JHEP11(2016)106},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {Fri Nov 18 00:00:00 EST 2016},
month = {Fri Nov 18 00:00:00 EST 2016}
}
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https://doi.org/10.1007/JHEP11(2016)106
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    Works referencing / citing this record:

    Schur correlation functions on S3 × S1
    journal, July 2019

    W-algebras for Argyres–Douglas theories
    journal, June 2017

    Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
    text, January 2017

    Surface Defect Indices and 2d-4d BPS States
    text, January 2017

    Surface Defects and Chiral Algebras
    text, January 2017

    BPS Graphs: From Spectral Networks to BPS Quivers
    text, January 2017

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