Logarithmic modes of critical gravity in de Sitter space-time

Abstract

In this paper we consider the critical gravity in four dimensional de Sitter space-time. We obtain logarithmic modes in the critical point of the theory. Then we show that these logarithmic modes in de Sitter space-time obey similar properties as the ones in AdS-space-time. Our result in this paper indicate that critical gravity theories in de Sitter space-times could lead to a de Sitter/log CFT correspondence.

10 pages, no figure. arXiv admin note: text overlap with arXiv:1204.1062, arXiv:hep-th/0205211, arXiv:1203.3301, arXiv:1102.4091 by other authors