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Title: Surface defects and chiral algebras

Here, we investigate superconformal surface defects in four-dimensional N = 2 superconformal theories. Each such defect gives rise to a module of the associated chiral algebra and the surface defect Schur index is the character of this module. Various natural chiral algebra operations such as Drinfield-Sokolov reduction and spectral flow can be interpreted as constructions involving four-dimensional surface defects. We compute the index of these defects in the free hypermultiplet theory and Argyres-Douglas theories, using both infrared techniques involving BPS states, as well as renormalization group flows onto Higgs branches. We find perfect agreement with the predicted characters, in each case.
Authors:
 [1] ;  [2] ;  [1]
  1. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  2. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Publication Date:
Grant/Contract Number:
SC0009988
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Institute for Advanced Study, Princeton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Supersymmetric Gauge Theory
OSTI Identifier:
1389279

Córdova, Clay, Gaiotto, Davide, and Shao, Shu-Heng. Surface defects and chiral algebras. United States: N. p., Web. doi:10.1007/JHEP05(2017)140.
Córdova, Clay, Gaiotto, Davide, & Shao, Shu-Heng. Surface defects and chiral algebras. United States. doi:10.1007/JHEP05(2017)140.
Córdova, Clay, Gaiotto, Davide, and Shao, Shu-Heng. 2017. "Surface defects and chiral algebras". United States. doi:10.1007/JHEP05(2017)140. https://www.osti.gov/servlets/purl/1389279.
@article{osti_1389279,
title = {Surface defects and chiral algebras},
author = {Córdova, Clay and Gaiotto, Davide and Shao, Shu-Heng},
abstractNote = {Here, we investigate superconformal surface defects in four-dimensional N = 2 superconformal theories. Each such defect gives rise to a module of the associated chiral algebra and the surface defect Schur index is the character of this module. Various natural chiral algebra operations such as Drinfield-Sokolov reduction and spectral flow can be interpreted as constructions involving four-dimensional surface defects. We compute the index of these defects in the free hypermultiplet theory and Argyres-Douglas theories, using both infrared techniques involving BPS states, as well as renormalization group flows onto Higgs branches. We find perfect agreement with the predicted characters, in each case.},
doi = {10.1007/JHEP05(2017)140},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}