Generalized conformal symmetry and recovery of in multiple M2 and D2 branes

Yoshinori Honma, Satoshi Iso, Yoske Sumitomo, Hiroshi Umetsu, Sen Zhang
2009 Nuclear Physics B  
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) -> ∞ 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
more » ... vature 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.
doi:10.1016/j.nuclphysb.2009.03.009 fatcat:h3nxp26bvnfohere5y3ehik4xm