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M2 to D2 and vice versa by 3-Lie and Lie bialgebra
2016
European Physical Journal C: Particles and Fields
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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
doi:10.1140/epjc/s10052-016-4477-y
fatcat:fpxjoubtmzf3fmwjlmrvpalid4