New Massive Supergravity and Auxiliary Fields
arXiv:1304.5445 · doi:10.1088/0264-9381/30/19/195004
Abstract
We construct a supersymmetric formulation of linearized New Massive Gravity without introducing higher derivatives. Instead, we introduce supersymmetrically a set of bosonic and fermionic auxiliary fields which, upon elimination by their equations of motion, introduce fourth-order derivative terms for the metric and third-order derivative terms for the gravitino. Our construction requires an off-shell formulation of the three-dimensional supersymmetric massive Fierz-Pauli theory. We discuss the non-linear extension of our results.
31 pages; v2: minor changes, added references/published version