Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes

Details Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes

2008-07-24

arxiv.org/abs/0807.3825v1

Nucl.Phys.B816:256-277,2009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1016/j.nuclphysb.2009.03.009

We investigate conformal symmetries of the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory for multiple M2 branes and the Lorentzian Bagger-Lambert-Gustavsson (L-BLG) theory which can be obtained by taking a scaling limit k (>>N) -> \infty of the ABJM theory. The conformal symmetry is maintained in the L-BLG by considering general space-time varying solutions to the constraint equations. The dual geometry is reduced to d=10 AdS4 x CP3 in the scaling limit and has the same conformal symmetry. The curvature radius R satisfies l_{11p} << l_{10p} << R << l_s (l_{dp} and l_s are the d-dimensional Planck lengths and the string scale), and the theory is in a region where an \alpha' expansion is not valid. We also study how the SO(8) covariance is recovered in the AdS4 x CP3 geometry by taking the scaling limit.

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