Quiver Yangians and -algebras for generalized conifolds

We focus on quiver Yangians for most generalized conifolds. We construct a coproduct of the quiver Yangian following the similar approach by Guay–Nakajima–Wendlandt. We also prove that the quiver Yangians related by Seiberg duality are indeed isomorphic. Then we discuss their connections to -algebra...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2023-06, Vol.56 (22), p.225203
Main Author: Bao, Jiakang
Format: Article
Language:English
Subjects:
quiver
W-algebras
Yangians
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Summary:We focus on quiver Yangians for most generalized conifolds. We construct a coproduct of the quiver Yangian following the similar approach by Guay–Nakajima–Wendlandt. We also prove that the quiver Yangians related by Seiberg duality are indeed isomorphic. Then we discuss their connections to -algebras analogous to the study by Ueda. In particular, the universal enveloping algebras of the -algebras are truncations of the quiver Yangians, and therefore they naturally have truncated crystals as their representations.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/acd037