Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories

Abstract

We study one-loop low-energy effective action in the hypermultiplet sector for $\mathcal{N}=2$ superconformal models. Any such a model contains $\mathcal{N}=2$ vector multiplet and some number of hypermultiplets. Gauge group $G$ is assumed to be broken down to $\tilde{G}\times K$ where $K$ is an Abelian subgroup and a background vector multiplet belongs to the Cartan subalgebra corresponding to $K$. We find a general expression for the low-energy effective action in a form of a proper-time integral. The leading space-time dependent contributions to the effective action are derived and their bosonic component structure is analyzed. The component action contains the terms with three and four space-time derivatives of component fields and has the Chern-Simons form.

29 pages, 1 figure, JHEP style

References in corpus (4)

• Self-dual effective action of N = 4 SYM revisited
• Exact propagators in harmonic superspace
• Construction of one-loop $\mathcal{N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach
• On Superspace Chern-Simons-like Terms

Cited by in corpus (15)

• ABJM models in N=3 harmonic superspace
• One-loop divergences in 6D, N=(1,0) SYM theory
• Quantum N=3, d=3 Chern-Simons Matter Theories in Harmonic Superspace
• One-loop divergences in the 6D, N=(1,0) abelian gauge theory
• Wess-Zumino term in the N=4 SYM effective action revisited
• Low-energy effective actions in three-dimensional extended SYM theories
• Superconformal N=3 SYM Low-Energy Effective Action
• N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• N=3 Superparticle Model
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• Higher Derivative Terms in Three Dimensional Supersymmetric Theories
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions