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

Using the concept of a 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475 , we construct a Bagger–Lambert–Gustavson (BLG) model for the M2-brane on a Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and the relation between those 3-Lie bialgebra with Lie...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2016-11, Vol.76 (11), p.1, Article 632
Main Authors: Aali-Javanangrouh, M., Rezaei-Aghdam, A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Astronomy
Astrophysics and Cosmology
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
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Summary:Using the concept of a 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475 , we construct a Bagger–Lambert–Gustavson (BLG) model for the M2-brane on a Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and the 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 the correspondence of the 3-Lie bialgebra and Lie bialgebra (for this special 3-Lie algebra) one can construct the M2-brane from a D2-brane and vice versa.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-016-4477-y