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All Couplings of Minimal Six-dimensional Supergravity
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abstract
We describe the complete coupling of $(1,0)$ six-dimensional supergravity to tensor, vector and hypermultiplets. The generalized Green-Schwarz mechanism implies that the resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops. Consequently, the low-energy theory is determined by the Wess-Zumino consistency conditions, rather than by the requirement of supersymmetry. As already shown for the case without hypermultiplets, this procedure does not fix a quartic coupling for the gauginos. With respect to these previous results, the inclusion of charged hypermultiplets gives additional terms in the supersymmetry anomaly. We also consider the case in which abelian vectors are present. As in the absence of hypermultiplets, abelian vectors allow additional couplings. Finally, we apply the Pasti-Sorokin-Tonin prescription to this model.
Forward citations
Cited by 4 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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Diagonally gauged anomaly-free 6D supergravities and their vacua
Bounded scans yield 706 single-factor and 1559 two-factor anomaly-free 6D (1,0) models gauged by a diagonal U(1)_R+, and explicit supersymmetric Minkowski vacua for a subset.
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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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