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).
Quantization of anomaly coefficients in 6D $\mathcal{N}=(1,0)$ supergravity
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abstract
We obtain new constraints on the anomaly coefficients of 6D $\mathcal{N}=(1,0)$ supergravity theories using local and global anomaly cancellation conditions. We show how these constraints can be strengthened if we assume that the theory is well-defined on any spin space-time with an arbitrary gauge bundle. We distinguish the constraints depending on the gauge algebra only from those depending on the global structure of the gauge group. Our main constraint states that the coefficients of the anomaly polynomial for the gauge group $G$ should be an element of $2 H^4(BG;\mathbb{Z}) \otimes \Lambda_S$ where $\Lambda_S$ is the unimodular string charge lattice. We show that the constraints in their strongest form are realized in F-theory compactifications. In the process, we identify the cocharacter lattice, which determines the global structure of the gauge group, within the homology lattice of the compactification manifold.
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Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circle reduction.
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.
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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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String probes, simple currents, and the no global symmetries conjecture
Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circle reduction.
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Bounds on Discrete Gauge Symmetries in Supergravity
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.