Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian
Abstract The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 2 supersymmetric version of this correspondence, and identify the full set of defining relations of the supersymme...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2018)192 |
| _version_ | 1828329050745077760 |
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| author | Matthias R. Gaberdiel Wei Li Cheng Peng |
| author_facet | Matthias R. Gaberdiel Wei Li Cheng Peng |
| author_sort | Matthias R. Gaberdiel |
| collection | DOAJ |
| description | Abstract The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 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. |
| first_indexed | 2024-04-13T20:18:58Z |
| format | Article |
| id | doaj.art-2a0baebe550b4d28817e553f9a84afd7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T20:18:58Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2a0baebe550b4d28817e553f9a84afd72022-12-22T02:31:36ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181116210.1007/JHEP11(2018)192Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine YangianMatthias R. Gaberdiel0Wei Li1Cheng Peng2Institut für Theoretische Physik, ETH ZurichInstitute of Theoretical Physics, Chinese Academy of SciencesDepartment of Physics, Brown UniversityAbstract The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 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.http://link.springer.com/article/10.1007/JHEP11(2018)192Conformal and W SymmetryExtended SupersymmetryHigher Spin SymmetryQuantum Groups |
| spellingShingle | Matthias R. Gaberdiel Wei Li Cheng Peng Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian Journal of High Energy Physics Conformal and W Symmetry Extended Supersymmetry Higher Spin Symmetry Quantum Groups |
| title | Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian |
| title_full | Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian |
| title_fullStr | Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian |
| title_full_unstemmed | Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian |
| title_short | Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian |
| title_sort | twin plane partitions and n mathcal n 2 affine yangian |
| topic | Conformal and W Symmetry Extended Supersymmetry Higher Spin Symmetry Quantum Groups |
| url | http://link.springer.com/article/10.1007/JHEP11(2018)192 |
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