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
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DOI：
10.1016/j.nuclphysb.2009.03.009
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发表时间：
2008-07
期刊：
影响因子：
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通讯作者：
Yoshinori Honma;S. Iso;Y. Sumitomo;H. Umetsu;Sen Zhang
中科院分区：
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作者：
Yoshinori Honma;S. Iso;Y. Sumitomo;H. Umetsu;Sen Zhang
我们研究了多重M2膜的Aharony-Bergman-Jafferis-Maldacena（ABJM）理论和Lorentzian Bagger-Lambert-Gustavsson（L-BLG）理论的共形对称性，其中L-BLG理论可以通过取ABJM理论的标度极限k（λ N）→∞得到.通过考虑约束方程的一般时空变化解，保持了L-BLG的共形对称性。对偶几何在标度极限下约化为d= 10AdS 4 × CP 3，并具有相同的共形对称性。曲率半径R满足lp（11）<$lp（10）<$R <$ls（lp（d）和ls是d维普朗克长度和弦尺度），并且理论处于α′展开无效的区域。在AdS 4 × CP 3几何中，我们还研究了SO（8）协方差是如何通过标度极限来恢复的.
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=10AdS4×CP3in the scaling limit and has the same conformal symmetry. The curvature radius R satisfies lp(11)≪lp(10)≪R≪ls(lp(d)and lsare 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×CP3geometry by taking the scaling limit.