On Non-linear Action for Gauged M2-brane

Understand

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.