Twin-plane-partitions and N = 2 affine Yangian
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2018-11
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Journal Article
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Abstract
The universal enveloping algebra of W1+∞ is isomorphic to the affine Yangian of gl1. 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.
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published
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2018 (11)
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192
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Springer
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Subject
Conformal and W Symmetry; Extended Supersymmetry; Higher Spin Symmetry; Quantum Groups
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03657 - Gaberdiel, Matthias / Gaberdiel, Matthias