Strong-coupling scales and the graph structure of multi-gravity theories
arXiv:1511.02877 · doi:10.1007/JHEP01(2016)029
Abstract
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, a la dimensional deconstruction.
23 pages, 7 figures; v2: additional references included, and minor typos corrected; version published in JHEP
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Cited by in corpus (7)
- Positivity Constraints on Interacting Spin-2 Fields
- Unitarization from Geometry
- Dark matter scenarios with multiple spin-2 fields
- EFT of Interacting Spin-2 Fields
- Structures in multiple spin-2 interactions
- Black Holes in Multi-Metric Gravity
- Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches