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Tensor and Vector Multiplets in Six-Dimensional Supergravity
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abstract
We construct the complete coupling of $(1,0)$ supergravity in six dimensions to $n$ tensor multiplets, extending previous results to all orders in the fermi fields. We then add couplings to vector multiplets, as dictated by the generalized Green-Schwarz mechanism. The resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops, and is determined by corresponding Wess-Zumino consistency conditions, aside from a quartic coupling for the gaugini. The supersymmetry algebra contains a corresponding extension that plays a crucial role for the consistency of the construction. We leave aside gravitational and mixed anomalies, that would only contribute to higher-derivative couplings.
Forward citations
Cited by 3 Pith papers
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Global anomalies in $6D$ gauged supergravities
New anomaly-free six-dimensional R-symmetry gauged supergravities are presented, and global anomaly freedom is shown to impose the constraints n_V ≡ 8 mod 12 (U(1)_R) and n_V = 60 (Sp(1)_R).
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4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
6D gauged supergravity with the Green-Schwarz counterterm admits exact dS4×S2 and Mink4×S2 solutions (with a monopole); the de Sitter vacuum has two tachyons and flows to Minkowski.
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The Special Locus
The special locus is equivalent to vanishing twisted gauge fields in 3D and to the 6D identity B2 = 1/4 B1, which trivializes one anti-self-dual tensor multiplet.
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