Eleven new anomaly-free 6D (1,0) supergravities with G_non-Abelian × U(1)_R are found that satisfy Green-Schwarz factorization and global consistency conditions, together with proofs of n_V ≡ 8 mod 12 necessity for rank-two unimodular embeddability (absent SU(2), SU(3), G2).
A systematic search for anomaly-free supergravities in six dimensions
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abstract
We conduct a systematic search for anomaly-free six-dimensional N=1 chiral supergravity theories. Under a certain set of restrictions on the allowed gauge groups and the representations of the hypermultiplets, we enumerate all possible Poincare and gauged supergravities with one tensor multiplet satisfying the 6D anomaly cancellation criteria.
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Anomaly-Free Spectra, Unimodular Lattices and 6D R-Symmetry Gauged Supergravity
Eleven new anomaly-free 6D (1,0) supergravities with G_non-Abelian × U(1)_R are found that satisfy Green-Schwarz factorization and global consistency conditions, together with proofs of n_V ≡ 8 mod 12 necessity for rank-two unimodular embeddability (absent SU(2), SU(3), G2).