On Non-linear Action for Gauged M2-brane
arXiv:0912.0903 · doi:10.1007/JHEP02(2010)039
Abstract
We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes couplings with the 3-form background in the eleven-dimensional supergravity which is consistent with the orbifold projection. We show that the novel higgs mechanism proposed by Mukhi and Papageorgakis does work even in the presence of higher derivative corrections and couplings with the background field, giving the correct structure of the Dirac-Born-Infeld action with Wess-Zumino term for a D2-brane. We also find half BPS solutions in the full non-linear theory which is interpreted as an another M2-brane intersecting with the original M2-brane. A possible generalization to U(N) \times U(N) gauge group is briefly discussed.
19 pages, no figure, references added, typos corrected
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Cited by in corpus (7)
- Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
- Dimensional reduction of the ABJM model
- Interaction between M2-branes and Bulk Form Fields
- Mass-Deformed Super Yang-Mills Theories from M2-Branes with Flux
- Deformation of half-BPS solution in ABJM model and instability of supermembrane
- Higher Derivative Terms in Three Dimensional Supersymmetric Theories
- Higher Derivative BLG: Lagrangian and Supersymmetry Transformations