Supersymmetric galileons and auxiliary fields in 2+1 dimensions

Abstract

In this work we study various aspects of supersymmetric three-dimensional higher-derivative field theories. We classify all possible models without derivative terms in the auxiliary field of the fermionic sector and find that scalar field theories of the form $P(X,\varphi )$, where $X=-(\partial \varphi {)}^2/2$, belong to this kind of models. A ghost-free supersymmetric extension of Galileon models is found in three spacetime dimensions. Finally, the auxiliary field problem is discussed.

22 pages

References in corpus (22)

• From Linear SUSY to Constrained Superfields
• Galileon Cosmology
• DBI and the Galileon reunited
• Multi-field galileons and higher co-dimension branes
• Global topological k-defects
• k-defects as compactons
• Light Nuclei of Even Mass Number in the Skyrme Model
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Light Nuclei as Quantized Skyrmions
• States of Carbon-12 in the Skyrme Model
• Doppelganger defects
• Supersymmetric Models with Higher Dimensional Operators
• N=1 supersymmetric extension of the baby Skyrme model
• The Ghost Condensate in N=1 Supergravity
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Classically isospinning Skyrmion solutions
• k-stabilization in brane models
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• Inflating baby-Skyrme branes in six dimensions

Cited by in corpus (9)

• BPS soliton-impurity models and supersymmetry
• The BPS property and its breaking in 1+1 dimensions
• Supersymmetry Breaking in Spatially Modulated Vacua
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• First order framework for vortices in generalized Maxwell-Chern-Simons models without a neutral field