Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace

Abstract

We study the structure of the gauge sector of the Bagger-Lambert-Gustavsson (BLG) theory in the form proposed by van Raamsdonk, adapted to 3D, N=1 superspace. By using the novel Higgs mechanism proposed by Mukhi and Papageorgakis, we derive the manifestly N=1 supersymmetric higher-order terms (beyond the supersymmetric Yang-Mills action) that follow from the BLG theory in its expansion with respect to the inverse gauge coupling constant squared. We find that all those terms have at least one anti-commutator of the super-YM field strength superfields as a factor, and thus are reducible to the SYM terms with the higher (spacetime) derivatives.

arXiv comment13 pages, LaTeX2e, no figures (title changed, few comments and references added)

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Cited by in corpus (13)

• Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory
• M-Theory on Deformed Superspace
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• M-Theory in the Gaugeon Formalism
• Deformation of the ABJM Theory
• Aspects of ABJ Theory
• Boundary Effects in the BLG Theory
• Non-anticommutative ABJ Theory
• Dynamical (super)symmetry vacuum properties of the supersymmetric Chern-Simons-matter model
• The Background Field Method for N = 2, d3 Super Chern-Simons-Matter Theories
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• A mass-deformed BLG theory in Gribov-Zwanziger framework