Zwei-dreibein gravity: a two-frame-field model of 3D massive gravity
Eric A Bergshoeff1, Sjoerd de Haan, Olaf Hohm
1Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.
Physical Review Letters
|October 1, 2013
Summary
We introduce a new gravity action in three dimensions that unifies existing models and allows for a positive central charge. This formulation ensures unitary propagation of massive spin-2 modes without unphysical degrees of freedom.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- String Theory
Background:
- Previous 3D massive gravity models lacked a unified framework.
- The AdS/CFT correspondence requires specific properties for bulk theories.
Purpose of the Study:
- To present a generally covariant and parity-invariant two-frame field action for 3D gravity.
- To unify and extend existing 3D massive gravity models.
- To ensure unitary propagation of massive spin-2 modes and confirm the absence of unphysical degrees of freedom.
Main Methods:
- Formulation of a two-frame field (zwei-dreibein) action.
- Application of Hamiltonian methods to analyze degrees of freedom.
- Analysis within the context of the AdS/CFT correspondence.
Main Results:
- The proposed action propagates two massive spin-2 modes unitarily.
- Hamiltonian methods confirm the absence of unphysical degrees of freedom.
- The theory unifies previous 3D massive gravity models.
Conclusions:
- The zwei-dreibein gravity action provides a consistent framework for 3D massive gravity.
- It allows for a positive central charge, consistent with bulk unitarity in AdS/CFT.
- This work offers a new perspective on massive gravity in lower dimensions.
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