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Title: The supersymmetric affine Yangian

Abstract

The affine Yangian of gl1 is known to be isomorphic to W1+∞, the W-algebra that characterizes the bosonic higher spin — CFT duality. In this paper we propose some of the defining relations of the Yangian that are relevant for the N = 2 superconformal version of W1+∞. Our construction is based on the observation that the N = 2 superconformal W1+∞ algebra contains two commuting bosonic W1+∞ algebras, and that the additional generators transform in bi-minimal representations with respect to these two algebras. As a result, the corresponding affine Yangian can therefore be built up from two affine Yangians of gl1 by adding in generators that transform appropriately.

Authors:
 [1];  [2];  [3];  [2]
  1. Eidgenössische Technische Hochschule (ETH), Zürich (Switzerland). Inst. for Theoretical Physics
  2. Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Theoretical Physics
  3. Brown Univ., Providence, RI (United States). Dept. of Physics
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1502090
Grant/Contract Number:  
SC0010010
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: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Higher Spin Symmetry; Quantum Groups

Citation Formats

Gaberdiel, Matthias R., Li, Wei, Peng, Cheng, and Zhang, Hong. The supersymmetric affine Yangian. United States: N. p., 2018. Web. doi:10.1007/jhep05(2018)200.
Gaberdiel, Matthias R., Li, Wei, Peng, Cheng, & Zhang, Hong. The supersymmetric affine Yangian. United States. https://doi.org/10.1007/jhep05(2018)200
Gaberdiel, Matthias R., Li, Wei, Peng, Cheng, and Zhang, Hong. Wed . "The supersymmetric affine Yangian". United States. https://doi.org/10.1007/jhep05(2018)200. https://www.osti.gov/servlets/purl/1502090.
@article{osti_1502090,
title = {The supersymmetric affine Yangian},
author = {Gaberdiel, Matthias R. and Li, Wei and Peng, Cheng and Zhang, Hong},
abstractNote = {The affine Yangian of gl1 is known to be isomorphic to W1+∞, the W-algebra that characterizes the bosonic higher spin — CFT duality. In this paper we propose some of the defining relations of the Yangian that are relevant for the N = 2 superconformal version of W1+∞. Our construction is based on the observation that the N = 2 superconformal W1+∞ algebra contains two commuting bosonic W1+∞ algebras, and that the additional generators transform in bi-minimal representations with respect to these two algebras. As a result, the corresponding affine Yangian can therefore be built up from two affine Yangians of gl1 by adding in generators that transform appropriately.},
doi = {10.1007/jhep05(2018)200},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {Wed May 30 00:00:00 EDT 2018},
month = {Wed May 30 00:00:00 EDT 2018}
}

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