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On q-deformed infinite-dimensional n-algebra

By Lu Ding, Xiao-Yu Jia, Ke Wu, Zhao-Wen Yan and Wei-Zhong Zhao

Abstract

AbstractThe q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro–Witt algebra, we derive a nontrivial q-deformed Virasoro–Witt n-algebra which is nothing but a sh-n-Lie algebra. Furthermore in terms of the pseud-differential operators, we construct the (co)sine n-algebra and the q-deformed SDiff(T2) n-algebra. We find that they are the sh-n-Lie algebras for the n even case. In terms of the magnetic translation operators, an explicit physical realization of the (co)sine n-algebra is given

Publisher: The Authors. Published by Elsevier B.V.
Year: 2016
DOI identifier: 10.1016/j.nuclphysb.2016.01.003
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