Higher derivative invariants in four dimensional N=3 Poincare supergravity

TL;DR

This paper derives higher derivative actions for four-dimensional N=3 Poincare supergravity using the superconformal approach, detailing the coupling of vector multiplets and auxiliary field elimination.

Contribution

It introduces a systematic method to construct higher derivative N=3 supergravity actions and demonstrates a consistent truncation at fourth order in derivatives.

Findings

Derived the higher derivative N=3 supergravity action.

Provided a method for auxiliary field elimination.

Showed the consistency of truncation at fourth order.

Abstract

In this paper, we use the superconformal approach to derive the higher derivative action for N = 3 Poincare supergravity in four space-time dimensions. We first study the coupling of N = 3 vector multiplets to conformal supergravity. Thereafter we combine it with the pure N = 3 conformal supergravity action and use a minimum of three vector multiplets as compensators to arrive at Poincare supergravity with higher derivative corrections. We give a general prescription on how to eliminate the auxiliary fields in an iterative manner and obtain the supergravity action order by order in derivatives. We also show that the truncation of the action at fourth order in derivatives is a consistent truncation.