Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Bosonizations of sl₂ and Integrable Hierarchies
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Bosonizations of sl₂ and Integrable Hierarchies
Інший ID:
2010 Mathematics Subject Classification: 17B80; 17B69; 37K10; 81R10
DOI:10.3842/SIGMA.2015.005
DOI:10.3842/SIGMA.2015.005
Посилання:
Bosonizations of sl₂ and Integrable Hierarchies / B. Bakalov, D. Fleisher // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ.
Підтримка:
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.
Дата:
2015
Переглядів:
620
Завантажень:
251
Анотація:
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.
