On the Problem of Multiple M2 Branes

Details On the Problem of Multiple M2 Branes On the Problem of Multiple M2 Branes

2008-04-07

arxiv.org/abs/0804.0913v1

JHEP 0805:076,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1088/1126-6708/2008/05/076

A simplified version of 3d BL theory is considered, which allows any number N of M2 branes in d=11. The underlying 3-algebra structure is provided by degenerate U(N) Nambu bracket [X,Y,Z] = tr(X) [Y,Z] + tr(Y) [Z,X] + tr(Z) [X,Y], the corresponding f^{abcd} is not totally antisymmetric and extended supersymmetry of the action remains to be checked. All the fields, including auxiliary non-propagating gauge fields, are in adjoint representation of SU(N) and the only remnant of 3-algebra structure is an octuple of gauge singlets, acquiring vacuum expectation value in transition to D2 branes in d=10.

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