A bound on 6D N=1 supergravities

Abstract

We prove that there are only finitely many distinct semi-simple gauge groups and matter representations possible in consistent 6D chiral (1,0) supergravity theories with one tensor multiplet. The proof relies only on features of the low-energy theory; the consistency conditions we impose are that anomalies should be cancelled by the Green-Schwarz mechanism, and that the kinetic terms for all fields should be positive in some region of moduli space. This result does not apply to the case of the non-chiral (1,1) supergravities, which are not constrained by anomaly cancellation.

23 pages, no figures; two paragraphs added to the proof in Appendix A covering the SU(2) and SU(3) case, other minor corrections

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Cited by in corpus (40)

• The Swampland: Introduction and Review
• Atomic Classification of 6D SCFTs
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• Classifying bases for 6D F-theory models
• Global aspects of the space of 6D N = 1 supergravities
• Matter and singularities
• Anomaly Equations and Intersection Theory
• Tate's algorithm and F-theory
• Toric bases for 6D F-theory models
• Charge Lattices and Consistency of 6D Supergravity
• String universality in ten dimensions
• Mapping 6D N = 1 supergravities to F-theory
• Branes and the Swampland
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
• On the Hodge structure of elliptically fibered Calabi-Yau threefolds
• 6D supergravity without tensor multiplets
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• Implications of String Constraints for Exotic Matter and Z' s Beyond the Standard Model
• Taming the Landscape of Effective Theories
• Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
• Generic matter representations in 6D supergravity theories
• Large U(1) charges in F-theory
• Finiteness and the Emergence of Dualities
• Charge completeness and the massless charge lattice in F-theory models of supergravity
• An infinite swampland of U(1) charge spectra in 6D supergravity theories
• Towards a complete classification of 6D supergravities
• Automatic Enhancement in 6D Supergravity and F-theory Models
• Classifying Global Symmetries of 6D SCFTs
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• $\frac{1}{2}$ Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s
• Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds
• Intersecting brane models and F-theory in six dimensions
• 6d $\mathcal{N}=(1,0)$ anomalies on $S^1$ and F-theory implications
• Six-Dimensional Jordan Supergravity Models
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
• Higgsing intersecting brane models on T^4/Z_N