Yangians versus minimal W-algebras: A surprising coincidence
© 2020 World Scientific Publishing Company. We prove that the singularities of the R-matrix R(k) of the minimal quantization of the adjoint representation of the Yangian Y of a finite dimensional simple Lie algebra are the opposite of the roots of the monic polynomial p(k) entering in the OPE expans...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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World Scientific Pub Co Pte Lt
2021
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| Online Access: | https://hdl.handle.net/1721.1/134355 |
| _version_ | 1826203377007067136 |
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| author | Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo |
| author_sort | Kac, Victor G |
| collection | MIT |
| description | © 2020 World Scientific Publishing Company. We prove that the singularities of the R-matrix R(k) of the minimal quantization of the adjoint representation of the Yangian Y of a finite dimensional simple Lie algebra are the opposite of the roots of the monic polynomial p(k) entering in the OPE expansions of quantum fields of conformal weight 3/2 of the universal minimal affine W-algebra at level k attached to . |
| first_indexed | 2024-09-23T12:35:38Z |
| format | Article |
| id | mit-1721.1/134355 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:35:38Z |
| publishDate | 2021 |
| publisher | World Scientific Pub Co Pte Lt |
| record_format | dspace |
| spelling | mit-1721.1/1343552023-11-14T19:39:26Z Yangians versus minimal W-algebras: A surprising coincidence Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo Massachusetts Institute of Technology. Department of Mathematics © 2020 World Scientific Publishing Company. We prove that the singularities of the R-matrix R(k) of the minimal quantization of the adjoint representation of the Yangian Y of a finite dimensional simple Lie algebra are the opposite of the roots of the monic polynomial p(k) entering in the OPE expansions of quantum fields of conformal weight 3/2 of the universal minimal affine W-algebra at level k attached to . 2021-10-27T20:04:35Z 2021-10-27T20:04:35Z 2021 2021-05-21T17:02:55Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/134355 en 10.1142/S0219199720500364 Communications in Contemporary Mathematics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf World Scientific Pub Co Pte Lt arXiv |
| spellingShingle | Kac, Victor G Frajria, Pierluigi Möseneder Papi, Paolo Yangians versus minimal W-algebras: A surprising coincidence |
| title | Yangians versus minimal W-algebras: A surprising coincidence |
| title_full | Yangians versus minimal W-algebras: A surprising coincidence |
| title_fullStr | Yangians versus minimal W-algebras: A surprising coincidence |
| title_full_unstemmed | Yangians versus minimal W-algebras: A surprising coincidence |
| title_short | Yangians versus minimal W-algebras: A surprising coincidence |
| title_sort | yangians versus minimal w algebras a surprising coincidence |
| url | https://hdl.handle.net/1721.1/134355 |
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