On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories

Abstract

We study the six-dimensional $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric Yang-Mills (SYM) theories in the component formulation. The one-loop divergencies of effective action are calculated. The leading one-loop low-energy contributions to bosonic sector of effective action are found. It is explicitly demonstrated that the contribution to effective potential for the constant background scalar fields are absent in the $\mathcal{N}=(1,1)$ SYM theory.

arXiv comment1+12 pages

References in corpus (26)

• Comments on String Dynamics in Six Dimensions
• Brane Dynamics and Gauge Theory
• A brief review of "little string theories"
• Supersymmetry counterterms revisited
• Supertwistor space for 6D maximal super Yang-Mills
• Renormalizable supersymmetric gauge theory in six dimensions
• The ultra-violet question in maximally supersymmetric field theories
• Multiple Membranes in M-theory
• A note on the UV behaviour of maximally supersymmetric Yang-Mills theories
• Conformal properties of hypermultiplet actions in six dimensions
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• Ultraviolet Fixed Points in Gauge and SUSY Field Theories in Extra Dimensions
• One-loop divergences in 6D, N=(1,0) SYM theory
• One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity
• Supergraph analysis of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ gauge theories
• Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace
• Interpolating the Coulomb Phase of Little String Theory
• One-loop beta-functions in 4-derivative gauge theory in 6 dimensions
• M-Theory and Maximally Supersymmetric Gauge Theories
• On the two-loop divergences of the 2-point hypermultiplet supergraphs for $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
• On the amplitudes in N=(1,1) D=6 SYM
• Gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ abelian theory
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• Harmonic superspace approach to the effective action in six-dimensional supersymmetric gauge theories

Cited by in corpus (5)

• The renormalization structure of $6D$, $\mathcal{N}=(1,0)$ supersymmetric higher-derivative gauge theory
• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
• Quantum calculation of the low-energy effective action in $5D$, $\mathcal{N}=2$ SYM theory
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions