Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: M2 to D2 and vice versa by 3-Lie and Lie bialgebra   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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The categories of this paper are: math
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas