Soldering spin-3/2 fermions in $D=2+1$

TL;DR

This paper extends the soldering procedure to spin-3/2 fermionic theories in 2+1 dimensions, enabling the construction of higher-order models and linking them to known gravity theories.

Contribution

It generalizes the soldering method to spin-3/2 fermions and constructs new higher-order models related to supergravity and massive gravity theories.

Findings

Fermionic part of New Topologically Massive Supergravity soldered into a fourth-order model.

Soldering of two second-order self-dual models yields a theory akin to linearized Einstein-Hilbert-Fierz-Pauli.

First application of soldering to spin-3/2 fermionic theories in 2+1 dimensions.

Abstract

The soldering procedure has been for the first time generalized to the case of spin-3/2 fermionic theories. We have demonstrated that the fermionic part of the so called "New Topologically Massive Supergravity" theory, which is of third order in derivatives, can be soldered in order to obtain a fourth order dublet model analogue to the linearized version of the New Massive Gravity theory, while the soldering of two second order self-dual models give us a theory similar to the linearized version of the Einstein-Hilbert-Fierz-Pauli theory.