Generalized conformal symmetry and recovery of SO(8) in multiple M2 and D2 branes

By Yoshinori Honma, Satoshi Iso, Y. Sumitomo, H. Umetsu, Sen Zhang. 2008

166 citations recorded by the source corpus.

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 ) → ∞ 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 AdS 4 × CP 3 in the scaling limit and has the same conformal symmetry. The curvature radius R satisfies l p ( 11 ) ≪ l p ( 10 ) ≪ R ≪ l s ( l p ( d ) 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 AdS 4 × CP 3 geometry by taking the scaling limit.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/845e5745acbae1a451d6592f8e8ca469d3fce221

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, background): “call the argument of [12, 13, 14, 15, 16 ] relating three-dimensional super Yang-Mills theory and”