13,876 research outputs found
Lorentz Symmetry Breaking in Superspace
In this paper, we will study the deformation of a three dimensional theory
with supersymmetry. This theory will be deformed by the
presence of a constant vector field. This deformation will break the Lorentz
symmetry. So, we will analyse this theory using aether
superspace. The aether superspace will be obtained from a
deformation of the usual superspace. This will be done by
deforming the generators of the three dimensional
supersymmetry. After analysing this deformed superalgebra, we will derive an
explicit expression for the superspace propagators in this deformed superspace.
Finally, we will use these propagators for performing perturbative
calculations.Comment: 9 pages, 0 figures, Accepted for publication in EP
K\"ahlerian Effective Potentials for Chern-Simons-Matter Theories
In this paper, we will calculate the effective potential for a theory of
multiple M2-branes. As the theory of multiple M2-branes can be described by a
Chern-Simons-matter theory, this will be done by calculating the K\"ahlerian
effective potential for a Chern-Simons-matter theory. This calculation will be
performed in superspace formalism. We will initially study an
Abelian Chern-Simons-matter theory, and then generalize those results to the
full non-Abelian Chern-Simons-matter theory. We will obtain explicit
expressions for the superpropagators for this theory. These superpropagators
will be used to calculate the one-loop effective potential.Comment: 15 page
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