Second cohomology group of extended W-algebras |
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| Authors: | Wei Wang Yongping Wu Chunguang Xia |
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| Institution: | (1) Departamento de F?sica Te?rica e IFIC, Universidad de Valencia, 46100 Burjassot (Valencia), Spain;(2) Departamento de F?sica Te?rica, Universidad de Valladolid, 47011 Valladolid, Spain;(3) INFN Sezione di Padova and Dipartimento di Fisica “G. Galilei”, Universit? di Padova, Via Marzolo 8, 35131 Padova, Italy;(4) Theoretical Physics Group, The Blackett Laboratory, Imperial College, London, SW7 2AZ, UK |
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| Abstract: | Let
\mathbbF\mathbb{F} be a field of characteristic 0, and let G be an additive subgroup of
\mathbbF\mathbb{F}. We define a class of infinite-dimensional Lie algebras
\mathbbF\mathbb{F}-basis {L
μ, V
μ, W
μ | μ ∈ G}, which are very closely related to W-algebras. In this paper, the second cohomology group of  is determined. |
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| Keywords: | |
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