Higher derivative three-form gauge theories and their supersymmetric extension

Abstract

We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well.

46 pages; v2: references added, published version

References in corpus (13)

• A Natural Framework for Chaotic Inflation
• An Ignoble Approach to Large Field Inflation
• F-term Axion Monodromy Inflation
• Supersymmetric Models with Higher Dimensional Operators
• Axion Monodromy Inflation on Warped Throats
• Three-form multiplet and Inflation
• Topological solitons in the supersymmetric Skyrme model
• Higher Derivative Corrections to Non-Abelian Vortex Effective Theory
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• Complex three-form supergravity and membranes
• Massive vector multiplet with Dirac-Born-Infeld and new Fayet-Iliopoulos terms in supergravity
• The one-loop effective potential of the Wess-Zumino model revisited
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories

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• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
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