Low-energy effective action in 5D, N=2 supersymmetric gauge theory

Abstract

We construct $\mathcal{N}=2$ supersymmetric low-energy effective action of $5D,\mathcal{N}=2$ supersymmetric Yang-Mills theory in $5D,\mathcal{N}=1$ harmonic superspace. It is obtained as a hypermultiplet completion of the leading $W\ln W$-term in the $\mathcal{N}=1$ SYM low-energy effective action by invoking the second implicit on-shell $\mathcal{N}=1$ supersymmetry. After passing to components, the $\mathcal{N}=2$ effective action constructed displays, along with other terms, the $SO(5)$-invariant $F^4/X^3$ term. Though we specialize to the case of $SU(2)$ gauge group spontaneously broken to $U(1)$, our consideration is applicable to any gauge symmetry broken to some abelian subgroup.

12 pages; v2: minor changes, references added

References in corpus (3)

• Supersymmetric Gauge Theories on the Five-Sphere
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• Wess-Zumino term in the N=4 SYM effective action revisited

Cited by in corpus (1)

• Quantum calculation of the low-energy effective action in $5D$, $\mathcal{N}=2$ SYM theory