Strong-coupling scales and the graph structure of multi-gravity theories
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.
Keywords
Cite
@article{arxiv.1511.02877,
title = {Strong-coupling scales and the graph structure of multi-gravity theories},
author = {James H. C. Scargill and Johannes Noller},
journal= {arXiv preprint arXiv:1511.02877},
year = {2016}
}
Comments
23 pages, 7 figures; v2: additional references included, and minor typos corrected; version published in JHEP