Free field realizations of the elliptic affine Lie algebra \(\mathfrak{sl}(2, \mathbb R)\oplus (\varOmega_R/dR)\)

DOI10.1016/j.geomphys.2009.06.007zbMath1217.17015arXiv0902.1273OpenAlexW2963996906WikidataQ115353358 ScholiaQ115353358MaRDI QIDQ838473

Ben L. Cox, Vyacheslav M. Futorny, A. G. Bueno

Publication date: 26 August 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1273

zbMATH Keywords

Fock spaceaffine Lie algebraWakimoto moduleelliptic affine algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (11)

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ On Realizations of Some Plane Algebroid Curves ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ The 3-point Virasoro algebra and its action on a Fock space ⋮ On the universal central extension of hyperelliptic current algebras ⋮ Representations for three-point Lie algebras of genus zero ⋮ DJKM algebras I: Their universal central extension ⋮ VERTEX ALGEBRAS ASSOCIATED WITH ELLIPTIC AFFINE LIE ALGEBRAS ⋮ On self-similar Lie algebras and virtual endomorphisms ⋮ Representations of Lie algebras ⋮ Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra

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