Ghost-free vector superfield actions in supersymmetric higher-derivative theories

Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Yusuke Yamada, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


We systematically construct ghost-free higher-derivative actions of Abelian vector supermultiplets in four-dimensional N= 1 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.

Original languageEnglish
Article number143
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 2017 Sept 1


  • Supersymmetric Effective Theories
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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