The 4d effective action of 5d gauged supergravity with boundaries

TL;DR

This paper derives the four-dimensional effective action from five-dimensional gauged supergravity with boundaries, focusing on BPS zero modes and their moduli, including the Kähler potential for the low-energy theory.

Contribution

It provides a detailed derivation of the 4d N=1 effective action and the Kähler potential from 5d gauged supergravity with boundaries, highlighting the role of BPS zero modes.

Findings

Derived the 4d effective action including moduli fields.

Explicitly computed the Kähler potential for the moduli space.

Analyzed the zero modes preserving N=1 supersymmetry.

Abstract

We consider gauged five dimensional supergravity with boundaries and vector multiplets in the bulk. We analyse the zero modes of the BPS configurations preserving N=1 supergravity at low energy. We find the 4d low energy effective action involving the moduli associated to the BPS zero modes. In particular, we derive the K\"ahler potential on the moduli space corresponding to the low energy 4d N=1 effective action.