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arXiv · 1604.05183

M2 to D2 and vice versa by 3-Lie and Lie bialgebra

M. Aali-Javanangrouh·A. Rezaei-Aghdam
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Abstract

Using the concept of 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475, we construct Bagger-Lambert-Gustavson (BLG) model for M2-brane on Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and relation between those 3-Lie bialgebra with Lie bialgebra, we reduce this model to an $N=(4,4)$ WZW model (D2-brane), such that, its algebraic structure is a Lie bialgebra with one 2-cocycle. In this manner by using correspondence of 3-Lie bialgebra and Lie bialgebra (for this special 3-Lie algebra) one can construct M2-brane from a D2-brane and vice versa.

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M. Aali-Javanangrouh, A. Rezaei-Aghdam. 2016-11-29. M2 to D2 and vice versa by 3-Lie and Lie bialgebra. https://doi.org/10.1140/epjc%2Fs10052-016-4477-y

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