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.

arXiv comment12 pages; v2: minor changes, references added

References in corpus (24)

• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• Supersymmetric Gauge Theories on the Five-Sphere
• Comments on Higher Derivative Operators in Some SUSY Field Theories
• $N^3$-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
• On Five-dimensional Superspaces
• ABJM models in N=3 harmonic superspace
• 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 effective action for $\mathcal{N}=4$ SYM theory in the hypermultiplet sector - leading low-energy approximation and beyond
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• Wess-Zumino term in the N=4 SYM effective action revisited
• On twisted N=2 5D super Yang-Mills theory
• Superconformal N=3 SYM Low-Energy Effective Action
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• Low-energy effective action in two-dimensional SQED: A two-loop analysis

Cited by in corpus (3)

• Superfield realization of hidden $R$-symmetry in extended supersymmetric gauge theories and its applications
• Quantum calculation of the low-energy effective action in $5D$, $\mathcal{N}=2$ SYM theory
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions