An infinite swampland of U(1) charge spectra in 6D supergravity theories

Abstract

We analyze the anomaly constraints on 6D supergravity theories with a single abelian U(1) gauge factor. For theories with charges restricted to $q=\pm 1,\pm 2$ and no tensor multiplets, anomaly-free models match those models that can be realized from F-theory compactifications almost perfectly. For theories with tensor multiplets or with larger charges, the F-theory constraints are less well understood. We show, however, that there is an infinite class of distinct massless charge spectra in the "swampland" of theories that satisfy all known quantum consistency conditions but do not admit a realization through F-theory or any other known approach to string compactification. We also compare the spectra of charged matter in abelian theories with those that can be realized from breaking nonabelian SU(2) and higher rank gauge symmetries.

42 pages, 3 figures, LaTeX; minor edits

References in corpus (11)

• On the Geometry of the String Landscape and the Swampland
• Symmetries and Strings in Field Theory and Gravity
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• Global aspects of the space of 6D N = 1 supergravities
• Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
• 6D supergravity without tensor multiplets
• Quantization of anomaly coefficients in 6D $\mathcal{N}=(1,0)$ supergravity
• Exotic matter on singular divisors in F-theory
• Abelian F-theory Models with Charge-3 and Charge-4 Matter
• Geometric engineering on flops of length two

Cited by in corpus (8)

• Branes and the Swampland
• Swampland Bounds on the Abelian Gauge Sector
• Remarks on the Green-Schwarz terms of six-dimensional supergravity theories
• Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations
• Generic matter representations in 6D supergravity theories
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• High electric charges in M-theory from quiver varieties
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment