On the Problem of Multiple M2 Branes

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.

12 pages

References in corpus (4)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Selfdual strings and loop space Nahm equations

Cited by in corpus (14)

• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• n-ary algebras: a review with applications
• Constraining Maximally Supersymmetric Membrane Actions
• Generation of Matrix Models by W-operators
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• An N=1 Superfield Action for M2 branes
• Multiple M2-branes and the Embedding Tensor
• N=8 superconformal gauge theories and M2 branes
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Light-cone M5 and multiple M2-branes
• A note on Quantum Aspects of Multiple Membranes
• Octonions, G_2 and generalized Lie 3-algebras
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes