Higher Order BLG Supersymmetry Transformations from 10-Dimensional Super Yang Mills

Abstract

We study a Simple Route for constructing the higher order Bagger-Lambert-Gustavsson theory - both supersymmetry transformations and Lagrangian - starting from knowledge of only the $10$-dimensional Super Yang Mills Fermion Supersymmetry transformation. We are able to uniquely determine the four-derivative order corrected supersymmetry transformations, to lowest non-trivial order in Fermions, for the most general three-algebra theory. For the special case of Euclidean three-algbera, we reproduce the result presented in arXiv:$1207.1208$, with significantly less labour. In addition, we apply our method to calculate the quadratic fermion terms in the higher order BLG fermion supersymmetry transformation.

arXiv comment15 pages

References in corpus (18)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• M2 to D2
• Gauged locally supersymmetric D=3 nonlinear sigma models
• Supersymmetric non-abelian Born-Infeld revisited
• D2 to D2
• D=10 Super-Yang-Mills at O(alpha'^2)
• Chern-Simons vs. Yang-Mills gaugings in three dimensions
• Supersymmetric Yang-Mills theory at order alpha'^3
• The Power of the Higgs Mechanism: Higher-Derivative BLG Theories
• Derivative corrections in 10-dimensional super-Maxwell theory
• Higher-derivative 3-algebras
• N=6 Membrane Worldvolume Superalgebra
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• Comments on Higher Order BLG Supersymmetry Transformations
• Aspects of Supersymmetry in Multiple Membrane Theories
• Multiple M-branes and 3-algebras
• Higher Derivative BLG: Lagrangian and Supersymmetry Transformations