Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach

Abstract

We consider the off-shell formulation of the 5D, $\mathcal{N}$=1 super Yang-Mills and super Chern-Simons theories in harmonic superspace. Using such a formulation we develop a manifestly supersymmetric and gauge invariant approach to constructing the one-loop effective action both in super Yang-Mills and super Chern-Simons models. On the base of this approach we compute the leading low-energy quantum contribution to the effective action on the Abelian vector multiplet background. This contribution corresponds to $F^4$ invariant which is given in 5D superfield form.

29 pages, minor modification, published version

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Cited by in corpus (7)

• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Low-energy effective action in 5D, N=2 supersymmetric gauge theory
• Superfield realization of hidden $R$-symmetry in extended supersymmetric gauge theories and its applications
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions
• Quantum calculation of the low-energy effective action in $5D$, $\mathcal{N}=2$ SYM theory
• Five-dimensional non-Abelian supersymmetric Chern-Simons action in Projective Superspace
• Massive Interacting Yang-Mills Multiplets Nine and Five Dimensions