Bosonizations of sl₂ and Integrable Hierarchies
We construct embeddings of sl₂ in lattice vertex algebras by composing the Wakimoto realization with the Friedan-Martinec-Shenker bosonization. The Kac-Wakimoto hierarchy then gives rise to two new hierarchies of integrable, non-autonomous, non-linear partial differential equations. A new feature of...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2015 |
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| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146902 |
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| Zitieren: | Bosonizations of sl₂ and Integrable Hierarchies / B. Bakalov, D. Fleisher // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862570154766893056 |
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| author | Bakalov, B. Fleisher, D. |
| author_facet | Bakalov, B. Fleisher, D. |
| citation_txt | Bosonizations of sl₂ and Integrable Hierarchies / B. Bakalov, D. Fleisher // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct embeddings of sl₂ in lattice vertex algebras by composing the Wakimoto realization with the Friedan-Martinec-Shenker bosonization. The Kac-Wakimoto hierarchy then gives rise to two new hierarchies of integrable, non-autonomous, non-linear partial differential equations. A new feature of our construction is that it works for any value of the central element of sl₂; that is, the level becomes a parameter in the equations.
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| first_indexed | 2025-11-26T02:06:33Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146902 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T02:06:33Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
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| spelling | Bakalov, B. Fleisher, D. 2019-02-11T21:20:30Z 2019-02-11T21:20:30Z 2015 Bosonizations of sl₂ and Integrable Hierarchies / B. Bakalov, D. Fleisher // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B80; 17B69; 37K10; 81R10 DOI:10.3842/SIGMA.2015.005 https://nasplib.isofts.kiev.ua/handle/123456789/146902 We construct embeddings of sl₂ in lattice vertex algebras by composing the Wakimoto realization with the Friedan-Martinec-Shenker bosonization. The Kac-Wakimoto hierarchy then gives rise to two new hierarchies of integrable, non-autonomous, non-linear partial differential equations. A new feature of our construction is that it works for any value of the central element of sl₂; that is, the level becomes a parameter in the equations. This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is
 available at http://www.emis.de/journals/SIGMA/LieTheory2014.html.
 We are grateful to Naihuan Jing and Kailash Misra for many useful discussions, and to the
 referees for valuable suggestions that helped us improve the exposition. The first author was
 supported in part by NSA and Simons Foundation grants. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bosonizations of sl₂ and Integrable Hierarchies Article published earlier |
| spellingShingle | Bosonizations of sl₂ and Integrable Hierarchies Bakalov, B. Fleisher, D. |
| title | Bosonizations of sl₂ and Integrable Hierarchies |
| title_full | Bosonizations of sl₂ and Integrable Hierarchies |
| title_fullStr | Bosonizations of sl₂ and Integrable Hierarchies |
| title_full_unstemmed | Bosonizations of sl₂ and Integrable Hierarchies |
| title_short | Bosonizations of sl₂ and Integrable Hierarchies |
| title_sort | bosonizations of sl₂ and integrable hierarchies |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146902 |
| work_keys_str_mv | AT bakalovb bosonizationsofsl2andintegrablehierarchies AT fleisherd bosonizationsofsl2andintegrablehierarchies |