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19 April 2024
 
  » arxiv » 0807.3825

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Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
Yoshinori Honma ; Satoshi Iso ; Yoske Sumitomo ; Hiroshi Umetsu ; Sen Zhang ;
Date 24 Jul 2008
AbstractWe 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.
Source arXiv, 0807.3825
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