Ghost-free vector superfield actions in supersymmetric higher-derivative theories
Aug 17, 2017
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Abstract: (Springer)
We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional global supersymmetric theories. After giving a simple example which illustrates that a naive introduction of a higher-derivative term gives rise to a ghost, we discuss possible building blocks for a ghost-free action and explicitly show that their bosonic parts have no ghost mode and the auxiliary field D does not propagate. Higher-derivative terms yield higher powers of the auxiliary field D in the actions, and the D-term equations of motion consequently admit multiple solutions in general. We confirm that the well-known supersymmetric Dirac-Born-Infeld action falls into this class. We further give another example in which the standard quadratic kinetic term (Maxwell term) is corrected by a quartic term of the field strength. We also discuss possible couplings to matter fields and a deformed D-term potential.Note:
- 17 pages; v3: references added, published version
- Supersymmetric Effective Theories
- Supersymmetric Gauge Theory
- derivative: high
- superfield: vector
- potential: D-term
- dimension: 4
- supersymmetry
- ghost
- field equations
- field strength
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