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Title: Chiral algebras, localization and surface defects

Abstract

Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the localization computation to include supersymmetric surface defects described by a generic 4d/2d coupled system. The presence of a defect corresponds to considering a module of the chiral algebra: our results provide a calculational window into its structure constants.

Authors:
 [1];  [2]
  1. Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
  2. Rutgers Univ., Piscataway, NJ (United States). New High Energy Theory Center
Publication Date:
Research Org.:
Rutgers Univ., Piscataway, NJ (United States); Uppsala Univ. (Sweden)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Swedish Research Council (SRC); Knut and Alice Wallenberg Foundation (Sweden)
OSTI Identifier:
1502377
Grant/Contract Number:  
SC0010008; 2014-5517
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: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conformal field theory; supersymmetric gauge theory; extended supersymmetry; supersymmetry and duality

Citation Formats

Pan, Yiwen, and Peelaers, Wolfger. Chiral algebras, localization and surface defects. United States: N. p., 2018. Web. doi:10.1007/jhep02(2018)138.
Pan, Yiwen, & Peelaers, Wolfger. Chiral algebras, localization and surface defects. United States. doi:10.1007/jhep02(2018)138.
Pan, Yiwen, and Peelaers, Wolfger. Thu . "Chiral algebras, localization and surface defects". United States. doi:10.1007/jhep02(2018)138. https://www.osti.gov/servlets/purl/1502377.
@article{osti_1502377,
title = {Chiral algebras, localization and surface defects},
author = {Pan, Yiwen and Peelaers, Wolfger},
abstractNote = {Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the localization computation to include supersymmetric surface defects described by a generic 4d/2d coupled system. The presence of a defect corresponds to considering a module of the chiral algebra: our results provide a calculational window into its structure constants.},
doi = {10.1007/jhep02(2018)138},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

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Cited by: 7 works
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Works referenced in this record:

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    Works referencing / citing this record:

    Schur correlation functions on S3 × S1
    journal, July 2019