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arXiv · 0807.3825

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

Yoshinori Honma·Satoshi Iso·Yoske Sumitomo·Hiroshi Umetsu·Sen Zhang
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Abstract

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 α' 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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Yoshinori Honma, Satoshi Iso, Yoske Sumitomo, Hiroshi Umetsu, Sen Zhang. 2008-07-24. Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes. https://doi.org/10.1016/j.nuclphysb.2009.03.009

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