The supersymmetric affine Yangian

Gaberdiel, Matthias R.; Li, Wei; Peng, Cheng; Zhang, Hong

doi:10.1007/jhep05(2018)200

The supersymmetric affine Yangian

Journal Article · Wed May 30 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep05(2018)200· OSTI ID:1502090

Gaberdiel, Matthias R. ^[1]; Li, Wei ^[2]; Peng, Cheng ^[3]; Zhang, Hong ^[2]

Eidgenössische Technische Hochschule (ETH), Zürich (Switzerland). Inst. for Theoretical Physics; Brown Univ., Providence, RI (United States)
Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Theoretical Physics
Brown Univ., Providence, RI (United States). Dept. of Physics

The affine Yangian of gl₁ is known to be isomorphic to W_1+∞, 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 W_1+∞. Our construction is based on the observation that the N = 2 superconformal W_1+∞ algebra contains two commuting bosonic W_1+∞ 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.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010010

OSTI ID:: 1502090

Alternate ID(s):: OSTI ID: 22743142

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Gluing two affine Yangians of gl(1) Li, Wei; Longhi, Pietro ETH Zurich https://doi.org/10.3929/ethz-b-000373045	text	January 2019
Twin-plane-partitions and $\mathcal{N}=2$ affine Yangian Gaberdiel, Matthias R.; Li, Wei; Peng, Cheng arXiv https://doi.org/10.48550/arxiv.1807.11304	text	January 2018

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