TY - JOUR
T1 - Nonlinear dynamics of parity-even tricritical gravity in three and four dimensions
AU - Apolo, Luis
AU - Porrati, Massimo
PY - 2012
Y1 - 2012
N2 - Recently proposed multicritical higher-derivative gravities in Anti de Sitter space carry logarithmic representations of the Anti de Sitter isometry group. While generically non-unitary already at the quadratic, free-theory level, in special cases these theories admit a unitary subspace. The simplest example of such behavior is tricritical gravity. In this paper, we extend the study of parity-even tricritical gravity in d = 3, 4 to the first nonlinear order. We show that the would-be unitary subspace suffers from a linearization instability and is absent in the full non-linear theory.
AB - Recently proposed multicritical higher-derivative gravities in Anti de Sitter space carry logarithmic representations of the Anti de Sitter isometry group. While generically non-unitary already at the quadratic, free-theory level, in special cases these theories admit a unitary subspace. The simplest example of such behavior is tricritical gravity. In this paper, we extend the study of parity-even tricritical gravity in d = 3, 4 to the first nonlinear order. We show that the would-be unitary subspace suffers from a linearization instability and is absent in the full non-linear theory.
KW - AdS-CFT correspondence
KW - Models of quantum gravity
UR - http://www.scopus.com/inward/record.url?scp=84865703732&partnerID=8YFLogxK
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U2 - 10.1007/JHEP08(2012)051
DO - 10.1007/JHEP08(2012)051
M3 - Article
AN - SCOPUS:84865703732
SN - 1126-6708
VL - 2012
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 51
ER -