The anomalous current multiplet in 6D minimal supersymmetry

Abstract

For supersymmetric gauge theories with eight supercharges in four, five and six dimensions, a conserved current belongs to the linear multiplet. In the case of six-dimensional $\mathcal{N}=(1,0)$ Poincaré supersymmetry, we present a consistent deformation of the linear multiplet which describes chiral anomalies. This is achieved by developing a superform formulation for the deformed linear multiplet. In the abelian case, we compute a nonlocal effective action generating the gauge anomaly.

27 pages; V2: published version

References in corpus (3)

• Conformal supergravity in five dimensions: New approach and applications
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background

Cited by in corpus (16)

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• Supergraph analysis of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ gauge theories
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• Gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ abelian theory
• Chiral anomalies in six dimensions from harmonic superspace
• Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet theory on the vector multiplet background
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
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• On the two-loop divergences in 6D, $\mathcal{N}=(1,1)$ SYM theory
• Higher-dimensional invariants in $6D$ super Yang-Mills theory
• On two-loop divergences of effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Component $d=6$ Born-Infeld theory with $N=(2,0)\to N=(1,0)$ supersymmetry breaking