531 research outputs found
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 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.Comment: 13 page
T-Duality in Sigma Models with Kaluza-Klein Metric as Electric-Magnetic Duality
It is shown that the T-duality in \sigma-model with Kaluza-Klein metric,
without or with a torsion term, can be interpreted as electric-magnetic duality
for some of their solitonic solutions. Actually Buscher's duality
transformation interchanges the topological and Noether charges.Comment: 12 Pages, Late
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