Free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus (Omega(R)/dR)

Autor(es)

Bueno, Andre ^[1] ; Cox, Ben ^[2] ; Futorny, Vyacheslav ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math, BR-05315970 Sao Paulo - Brazil

^[2] Coll Charleston, Dept Math, Charleston, SC 29424 - USA

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 59, n. 9, p. 1258-1270, SEP 2009.
• Citações Web of Science: 8

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. (AU)

• Processo FAPESP: 05/60337-2 - Álgebras de Lie e de Jordan, suas representações e generalizações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático