Generating higher-derivative couplings in N=2 supergravity

TL;DR

This paper introduces a new method for constructing higher-derivative couplings in 4D N=2 supergravity using an off-shell formulation, focusing on tensor and vector multiplet interactions.

Contribution

It presents a general construction for higher-derivative couplings in N=2 supergravity, applicable to various matter interactions, and expresses certain terms as integrals over superspace.

Findings

Provides a systematic way to generate higher-derivative terms

Demonstrates the construction for tensor and vector multiplets

Expresses some actions as integrals over superspace coordinates

Abstract

Using a recently developed off-shell formulation for general 4D N=2 supergravity-matter systems, we propose a construction to generate higher derivative couplings. We address here mainly the interactions of tensor and vector multiplets, but the construction is quite general. For a certain subclass of terms, the action is naturally written as an integral over 3/4 of the Grassmann coordinates of superspace.