On "New Massive" 4D Gravity
Eric A. Bergshoeff, J. J. Fernandez-Melgarejo, Jan Rosseel, Paul K., Townsend
TL;DR
This paper introduces a novel 4D gauge theory that unitarily propagates all five polarization modes of a massive spin-2 particle using a dual graviton potential, inspired by 3D new massive gravity.
Contribution
It presents the first 4D model of massive gravity with a 4th-order Lagrangian that unitarily propagates all polarization modes, extending ideas from 3D theories.
Findings
Constructed a 4D gauge theory with five polarization modes.
Analyzed the massless limit and its relation to known models.
Discussed similarities to the Eddington-Schroedinger formulation.
Abstract
We construct a four-dimensional (4D) gauge theory that propagates, unitarily, the five polarization modes of a massive spin-2 particle. These modes are described by a "dual" graviton gauge potential and the Lagrangian is 4th-order in derivatives. As the construction mimics that of 3D "new massive gravity", we call this 4D model (linearized) "new massive dual gravity". We analyse its massless limit, and discuss similarities to the Eddington-Schroedinger model.
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