Strong-coupling scales and the graph structure of multi-gravity theories

James H. C. Scargill, Johannes Noller

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In this paper we consider how the strong-coupling scale, or perturbative cutoff, in a multi-gravity theory depends upon the presence and structure of interactions between the different fields. This can elegantly be rephrased in terms of the size and structure of the ‘theory graph’ which depicts the interactions in a given theory. We show that the question can be answered in terms of the properties of various graph-theoretical matrices, affording an efficient way to estimate and place bounds on the strong-coupling scale of a given theory. In light of this we also consider the problem of relating a given theory graph to a discretised higher dimensional theory, à la dimensional deconstruction.
Original languageEnglish
Article number29
Pages (from-to)1-23
Number of pages23
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 7 Jan 2016


  • classical theories of gravity
  • field theories in higher dimensions
  • RCUK
  • STFC


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