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arXiv · 0804.0913

On the Problem of Multiple M2 Branes

A. Morozov
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Abstract

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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A. Morozov. 2008-04-07. On the Problem of Multiple M2 Branes. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F076

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