Twin-plane-partitions and $\mathcal{N}$ = 2 affine Yangian

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

doi:10.1007/jhep11(2018)192

Twin-plane-partitions and $$\mathcal{N}$$ = 2 affine Yangian

Journal Article · Thu Nov 29 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2018)192· OSTI ID:1611327

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

ETH, Zurich (Switzerland); DOE/OSTI
Chinese Academy of Science (CAS), Beijing (China)
Brown Univ., Providence, RI (United States)

The universal enveloping algebra of W_1+∞ 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

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:: 1611327

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (5)

Rectangular W-algebras, extended higher spin gravity and dual coset CFTs Creutzig, Thomas; Hikida, Yasuaki Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)147	journal	February 2019
Gluing two affine Yangians of 𝔤𝔩1 Li, Wei; Longhi, Pietro Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)131	journal	October 2019
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Rectangular W algebras and superalgebras and their representations Creutzig, Thomas; Hikida, Yasuaki Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/physrevd.100.086008	journal	October 2019
Gluing two affine Yangians of gl(1) Li, Wei; Longhi, Pietro ETH Zurich https://doi.org/10.3929/ethz-b-000373045	text	January 2019

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