Andre Bueno, Ben Cox, Vyacheslav Futorny
Published 2009-02-07, updated 2009-05-23Version 2
In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2,R) + \Omega_R/dR, where R=C[t,t^{-1},u|u^2=t^3 - 2b t^2 + t]. The first realization gives 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 type of representations analogous to Imaginary Verma modules in the Affine setting.
Comments: updated version
Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation
Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$
Smooth representations of affine Kac-Moody algebras
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