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

Abstract

We consider $5D$, $\mathcal{N}=2$ supersymmetric Yang-Mills (SYM) theory in $5D$, $\mathcal{N}=1$ harmonic superspace as a theory of the interacting adjoint $5D$, $\mathcal{N}=1$ gauge multiplet and hypermultiplet. Using the background superfield method, we compute the leading low-energy contribution to the one-loop effective action. The result of quantum calculations precisely matches the effective action derived earlier in {\tt arXiv:1812.07206} on the pure symmetry grounds.

1+10 pages

References in corpus (4)

• Supersymmetric Gauge Theories on the Five-Sphere
• One-loop divergences in 6D, N=(1,0) SYM theory
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• Low-energy effective action in 5D, N=2 supersymmetric gauge theory