Free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus (Omega(R)/dR)
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
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| Resumo |
In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus Omega(R)/dR where R = C[t. t(-1), u vertical bar u(2) = t(3) - 2bt(2) + t]. The first realization provides an analogue of Wakimoto`s construction for Affine Kac-Moody algebras, but in the setting of the elliptic affine Lie algebra. The second realization gives new types of representations analogous to Imaginary Verma modules in the Affine setting. (c) 2009 Elsevier B.V. All rights reserved. Fapesp[2005/60337-2] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[301743/2007-0] |
| Identificador |
JOURNAL OF GEOMETRY AND PHYSICS, v.59, n.9, p.1258-1270, 2009 0393-0440 http://producao.usp.br/handle/BDPI/30757 10.1016/j.geomphys.2009.06.007 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE BV |
| Relação |
Journal of Geometry and Physics |
| Direitos |
restrictedAccess Copyright ELSEVIER SCIENCE BV |
| Palavras-Chave | #Wakimoto modules #Elliptic affine algebras #Affine Lie algebras #Fock spaces #INTERMEDIATE WAKIMOTO MODULES #CENTRAL EXTENSIONS #REPRESENTATIONS #Mathematics, Applied #Physics, Mathematical |
| Tipo |
article original article publishedVersion |
