58 research outputs found
Supersymmetric extensions of K field theories
We review the recently developed supersymmetric extensions of field theories
with non-standard kinetic terms (so-called K field theories) in two an three
dimensions. Further, we study the issue of topological defect formation in
these supersymmetric theories. Specifically, we find supersymmetric K field
theories which support topological kinks in 1+1 dimensions as well as
supersymmetric extensions of the baby Skyrme model for arbitrary nonnegative
potentials in 2+1 dimensions.Comment: Contribution to the Proceedings of QTS7, Prague, August 201
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
Extended Supersymmetry and BPS solutions in baby Skyrme models
We continue the investigation of supersymmetric extensions of baby Skyrme
models in d=2+1 dimensions. In a first step, we show that the CP(1) form of the
baby Skyrme model allows for the same N=1 SUSY extension as its O(3)
formulation. Then we construct the N=1 SUSY extension of the gauged baby Skyrme
model, i.e., the baby Skyrme model coupled to Maxwell electrodynamics. In a
next step, we investigate the issue of N=2 SUSY extensions of baby Skyrme
models. We find that all gauged and ungauged submodels of the baby Skyrme model
which support BPS soliton solutions allow for an N=2 extension such that the
BPS solutions are one-half BPS states (i.e., annihilated by one-half of the
SUSY charges). In the course of our investigation, we also derive the general
BPS equations for completely general N=2 supersymmetric field theories of (both
gauged and ungauged) chiral superfields, and apply them to the gauged nonlinear
sigma model as a further, concrete example.Comment: 32 pages, Latex fil
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