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Bosonizations of sl₂ and Integrable Hierarchies

Vernadsky National Library of Ukraine

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Title Bosonizations of sl₂ and Integrable Hierarchies
 
Creator Bakalov, B.
Fleisher, D.
 
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.
 
Date 2019-02-11T21:20:30Z
2019-02-11T21:20:30Z
2015
 
Type Article
 
Identifier 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
http://dspace.nbuv.gov.ua/handle/123456789/146902
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України