On the generalized minimal massive gravity

DOI10.1016/J.NUCLPHYSB.2015.07.006zbMATH Open1329.83167arXiv1412.2151OpenAlexW1897666717MaRDI QIDQ906743

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Publication date: 22 January 2016

Published in: (Search for Journal in Brave)

Abstract: In this paper we study the Generalized Minimal Massive Gravity (GMMG) in asymptotically

A d S_{3}

background. The generalized minimal massive gravity theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. We study the linearized excitations around the

A d S_{3}

background and find that at special point (tricritical) in parameter space the two massive graviton solutions become massless and they are replaced by two solutions with logarithmic and logarithmic-squared boundary behavior. So it is natural to proposed that GMMG model could also provide a holographic description for a

3 -

rank Logarithmic Conformal Field Theory (LCFT). We calculate the energy of the linearized gravitons in

A d S_{3}

background, and show that the theory is free of negative-energy bulk modes. Then we obtain the central charges of the CFT dual explicitly and show GMMG also avoids the aforementioned "bulk-boundary unitarity clash". After that we show that General Zwei-Dreibein Gravity (GZDG) model can reduce to GMMG model. Finally by a Hamiltonian analysis we show that the GMMG model has no Boulware-Deser ghosts and this model propagate only two physical modes.

Full work available at URL: https://arxiv.org/abs/1412.2151

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