Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-25
Nucl.Phys.B812:488-524,2009
Physics
High Energy Physics
High Energy Physics - Theory
51 pages, 3 figures; v2 typos corrected, version published in NPB; v3 added appendix E on general class of fixed points in mul
Scientific paper
10.1016/j.nuclphysb.2008.12.010
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.
Kiritsis Elias
Niarchos Vasilis
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