Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories

• Main Authors: Muneto Nitta, Ryo Yokokura
• Format: Article
• Language: English
• Published: SpringerOpen 2019-05-01
• Series: Journal of High Energy Physics
• Subjects: Superspaces; Supersymmetric Effective Theories
• Online Access: http://link.springer.com/article/10.1007/JHEP05(2019)102

Abstract We consider a topological coupling between a pseudo-scalar field and a 3- form gauge field in N = 1 $$ \mathcal{N}=1 $$ supersymmetric higher derivative 3-form gauge theories in four spacetime dimensions. We show that ghost/tachyon-free higher derivative Lagrangians with the topological coupling can generate various potentials for the pseudo-scalar field by solving the equation of motion for the 3-form gauge field. We give two examples of higher derivative Lagrangians and the corresponding potentials: one is a quartic order term of the field strength and the other is the term which can generate a cosine-type potential of the pseudo-scalar field.