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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2015
Автори: Bakalov, B., Fleisher, D.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2015
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146902
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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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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language English
last_indexed 2025-11-26T02:06:33Z
publishDate 2015
publisher Інститут математики НАН України
record_format dspace
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