A Scale-up of Lambda_3

TL;DR

This paper proposes embedding 4D massive gravity into a higher-dimensional or non-local CFT framework to significantly raise its strong coupling scale, addressing issues of strong coupling and fifth-force constraints.

Contribution

It introduces a novel embedding mechanism that elevates the strong scale of massive gravity, with detailed analysis of 5D AdS models and holographic duality implications.

Findings

Strong coupling scale can be increased by embedding into higher-dimensional theories.

Coupling to stress-tensors is suppressed, maintaining consistency with fifth-force constraints.

Embedding into 5D AdS gravity raises the strong scale by 19 orders of magnitude.

Abstract

Pure massive gravity is strongly coupled at a certain low scale, known as Lambda_3. I show that the theory can be embedded into another one, with new light degrees of freedom, to increase the strong scale to a significantly larger value. Certain universal aspects of the proposed mechanism are discussed, notably that the coupling of the longitudinal mode to a stress-tensor is suppressed, thus making the linear theory consistent with the fifth-force exclusion. An example of the embedding theory studied in detail is 5D AdS massive gravity, with a large cosmological constant. In this example the 4D strong scale can be increased by 19 orders of magnitude. Holographic duality then suggests that the strong scale of the 4D massive gravity can be increased by coupling it to a 4D non-local CFT, endowed with a UV cutoff; however, the 5D classical gravity picture appears to be more tractable.