Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
Abstract
Products of large-N conformal field theories coupled by multi-trace interactions in diverse dimensions are used to define quantum multi-gravity (multi-string theory) on a union of (asymptotically) AdS spaces. One-loop effects generate a small O(1/N) mass for some of the gravitons. The boundary gauge theory and the AdS/CFT correspondence are used as guiding principles to study and draw conclusions on some of the well known problems of massive gravity - classical instabilities and strong coupling effects. We find examples of stable multi-graviton theories where the usual strong coupling effects of the scalar mode of the graviton are suppressed. Our examples require a fine tuning of the boundary conditions in AdS. Without it, the spacetime background backreacts in order to erase the effects of the graviton mass.
Cite
@article{arxiv.0808.3410,
title = {Interacting String Multi-verses and Holographic Instabilities of Massive Gravity},
author = {Elias Kiritsis and Vasilis Niarchos},
journal= {arXiv preprint arXiv:0808.3410},
year = {2009}
}
Comments
51 pages, 3 figures; v2 typos corrected, version published in NPB; v3 added appendix E on general class of fixed points in multi-trace deformations