Global aspects of the space of 6D N = 1 supergravities

By Vijaya Kumar, D. Morrison, Washington Taylor. 2010

151 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/fa6f660bf90beb1bdf4c60ae2ee381e8a376990a

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Citations in the corpus

F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds (2012, background): “In particular, the gravitational anomaly coefficient a corresponds to the canonical divisor while the coefficient bκ corresponds to the degeneration locus of the fiber that yields the Gκ gauge symmetry [9, 10,13,14,44].”
Anomaly equations and intersection theory (2011, methodology): “There is an elegant picture of how the geometry of the internal Calabi-Yau threefold is encoded in the non-abelian sector of the low-energy theory [11, 12, 30, 34].”
Classifying bases for 6D F-theory models (2012, background): “ore generally for the class of all quantum-consistent 6D supergravity models. There are 6D supergravity models satisfying all known quantum consistency constraints that cannot be realized in F-theory [4, 5, 6]. For example, there is an apparently-consistent 6D supergravity model containing an su(8) ”
F-theory fluxes, chirality and Chern-Simons theories (2011, background): “An incomplete list of recent works on this subject includes [47, 48, 49].”
Matter and singularities (2011, background): “In six dimensions, the space of allowed supergravity theories is strongly constrained by anomalies and other simple features of the low-energy theory [13, 14, 16, 17, 18, 19, 20, 21].”
F-theory on all toric hypersurface fibrations and its Higgs branches (2014, methodology): “In fact, using the well-developed map between the geometry of F-theory and SUGRA theories, see [20, 21] for the complete map in 6D and [22] for results about certain topological terms in 4D4, one finds that the Calabi-Yau manifolds realizing many known consistent SUGRA theories, in particular those ”
Atomic classification of 6D SCFTs (2015, background): “cellation Anomaly cancellation serves as a powerful constraint on the consistency of any low energy eective eld theory. It is particularly stringent for chiral theories in six dimensions (see, e.g., [28{32,19]). For continuous anomalies, we must consider box diagrams with four external insertions of”