https://doi.org/10.1140/epjc/s10052-014-2747-0
Regular Article - Theoretical Physics
Dimensional reduction of the massless limit of the linearized ‘New Massive Gravity’
UNESP, Campus de Guaratinguetá, DFQ, Avenida Doutor Ariberto Pereira da Cunha, 333, Guaratinguetá, SP, CEP 12516-410, Brazil
* e-mail: dalmazi@feg.unesp.br
Received:
11
November
2013
Accepted:
16
January
2014
Published online:
15
February
2014
The so-called ‘New Massive Gravity’ in 
consists of the Einstein–Hilbert action (with minus sign) plus a quadratic term in the curvature (
-term). Here we perform the Kaluza–Klein dimensional reduction of the linearized -term to 
. We end up with fourth-order massive electrodynamics in , described by a rank-2 tensor. Remarkably, there appears a local symmetry in , which persists even after gauging away the Stueckelberg fields of the dimensional reduction. It plays the role of a 
gauge symmetry. Although of higher order in the derivatives, the new 2D massive electrodynamics is ghost free, as we show here. It is shown, via a master action, to be dual to the Maxwell–Proca theory with a scalar Stueckelberg field.
© The Author(s), 2014
