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 Note on the Green - Schwarz Mechanism in Open - String Theories
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abstract
An interesting feature of some open superstring models in $D < 10$ is the simultaneous presence, in the spectrum, of gauge fields and of a number of antisymmetric tensor fields. In these cases the Green-Schwarz mechanism can (and does) take a generalized form, resulting from the combined action of all the antisymmetric tensors. These novelties are illustrated referring to some simple rational models in six dimensions, and some of their implications for the low-energy effective field theory are pointed out.
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Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.
Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
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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).
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Rational points in the 6d supergravity landscape and simple current extensions
Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.