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Bosonizations of sl₂ and Integrable Hierarchies
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Bakalov, B. | |
| dc.contributor.author | Fleisher, D. | |
| dc.date.accessioned | 2019-02-11T21:20:30Z | |
| dc.date.available | 2019-02-11T21:20:30Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Bosonizations of sl₂ and Integrable Hierarchies / B. Bakalov, D. Fleisher // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17B80; 17B69; 37K10; 81R10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.005 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146902 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Bosonizations of sl₂ and Integrable Hierarchies | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
