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.

arXiv comment1+10 pages

References in corpus (22)

• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• Supersymmetric Gauge Theories on the Five-Sphere
• $N^3$-behavior from 5D Yang-Mills theory
• The Background Field Method for N = 2 Super Yang-Mills Theories in Harmonic Superspace
• Perturbative partition function for a squashed S^5
• On the D = 4, N = 2 Non-Renormalization Theorem
• Multiple Membranes in M-theory
• On Five-dimensional Superspaces
• Comments on the Background Field Method in Harmonic Superspace: Non-holomorphic Corrections in N=4 SYM
• Fukaya-Seidel category and gauge theory
• Deconstructing (2,0) Proposals
• Complete N=4 Structure of Low-Energy Effective Action in N=4 Super Yang-Mills Theories
• Effective action of N = 4 super Yang-Mills: N = 2 superspace approach
• Complete Low-Energy Effective action in N=4 SYM: a Direct N=2 Supergraph Calculation
• One-loop divergences in 6D, N=(1,0) SYM theory
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• On twisted N=2 5D super Yang-Mills theory
• M-Theory and Maximally Supersymmetric Gauge Theories
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• Low-energy effective action in 5D, N=2 supersymmetric gauge theory
• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation

Cited by in corpus (1)

• Superfield realization of hidden $R$-symmetry in extended supersymmetric gauge theories and its applications