Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter

TL;DR

This paper investigates the geometric and gauge constraints necessary for a consistent reduction from N=2 to N=1 supergravity in four dimensions, emphasizing the fermionic sector's role.

Contribution

It provides a systematic analysis of the conditions for reducing N=2 supergravity to N=1, highlighting the importance of fermionic sector constraints.

Findings

Derived geometric and gauge constraints for N=2 to N=1 reduction

Identified the fermionic sector as key to understanding reduction conditions

Ensured consistency of matter coupling in reduced supergravity

Abstract

We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an elegant way by looking at the fermionic sector of the theory.