Twin-plane-partitions and $$\mathcal{N}$$ = 2 affine Yangian
Abstract
The universal enveloping algebra of W1+∞ is isomorphic to the affine Yangian of $$\mathfrak{g}{\mathfrak{l}}_1$$. We study the N = 2 supersymmetric version of this correspondence, and identify the full set of defining relations of the supersymmetric affine Yangian. These relations can be deduced by demanding that the algebra has a representation on twin-plane-partitions, which we construct by gluing pairs of plane partitions. We define the action of the algebra on these twin-plane-partitions explicitly
- Authors:
-
- ETH, Zurich (Switzerland)
- Chinese Academy of Science (CAS), Beijing (China)
- Brown Univ., Providence, RI (United States)
- Publication Date:
- Research Org.:
- Brown Univ., Providence, RI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1611327
- 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: 11; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; conformal and W symmetry; extended supersymmetry; higher spin symmetry; quantum groups
Citation Formats
Gaberdiel, Matthias R., Li, Wei, and Peng, Cheng. Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian. United States: N. p., 2018.
Web. doi:10.1007/jhep11(2018)192.
Gaberdiel, Matthias R., Li, Wei, & Peng, Cheng. Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian. United States. https://doi.org/10.1007/jhep11(2018)192
Gaberdiel, Matthias R., Li, Wei, and Peng, Cheng. Thu .
"Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian". United States. https://doi.org/10.1007/jhep11(2018)192. https://www.osti.gov/servlets/purl/1611327.
@article{osti_1611327,
title = {Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian},
author = {Gaberdiel, Matthias R. and Li, Wei and Peng, Cheng},
abstractNote = {The universal enveloping algebra of W1+∞ is isomorphic to the affine Yangian of $\mathfrak{g}{\mathfrak{l}}_1$. We study the N = 2 supersymmetric version of this correspondence, and identify the full set of defining relations of the supersymmetric affine Yangian. These relations can be deduced by demanding that the algebra has a representation on twin-plane-partitions, which we construct by gluing pairs of plane partitions. We define the action of the algebra on these twin-plane-partitions explicitly},
doi = {10.1007/jhep11(2018)192},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2018,
place = {United States},
year = {Thu Nov 29 00:00:00 EST 2018},
month = {Thu Nov 29 00:00:00 EST 2018}
}
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- Creutzig, Thomas; Hikida, Yasuaki
- Physical Review D, Vol. 100, Issue 8
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