Gluing affine Yangians with bi-fundamentals
A bstract The affine Yangian of gl 1 is isomorphic to the universal enveloping algebra of W 1 + ∞ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter family generalization of N = 2 supersymmetric W ∞ algebra was constructed by “gluing” two a...
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| Vydáno v: | The journal of high energy physics Ročník 2020; číslo 6; s. 182 - 64 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.06.2020
Springer Nature B.V SpringerOpen |
| Témata: | |
| ISSN: | 1029-8479, 1029-8479 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | A
bstract
The affine Yangian of
gl
1
is isomorphic to the universal enveloping algebra of
W
1
+
∞
and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter family generalization of
N
= 2 supersymmetric
W
∞
algebra was constructed by “gluing” two affine Yangians of
gl
1
using operators that transform as (□,
□
¯
) and (
□
¯
, □) w.r.t. the two affine Yangians. In this paper we realize a similar (but non-isomorphic) two-parameter gluing construction where the gluing operators transform as (□, □) and (
□
¯
,
□
¯
) w.r.t. the two affine Yangians. The corresponding representation space consists of pairs of plane partitions connected by a common leg whose cross-section takes the shape of Young diagrams, offering a more transparent geometric picture than the previous construction. |
|---|---|
| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1029-8479 1029-8479 |
| DOI: | 10.1007/JHEP06(2020)182 |