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:
-
- Eidgenössische Technische Hochschule (ETH), Zürich (Switzerland). Inst. for Theoretical Physics
- Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Theoretical Physics
- 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}
}
Web of Science
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