On BPS bounds in D=4 N=2 gauged supergravity

TL;DR

This paper determines the BPS bounds in four-dimensional minimal gauged supergravity with AdS asymptotics, revealing two distinct ground states with different superalgebras and BPS bounds, and introduces a holographic renormalization approach for conserved charges.

Contribution

It identifies two disconnected BPS ground states in D=4 N=2 gauged supergravity and derives their respective superalgebras and bounds, highlighting a novel holographic renormalization method.

Findings

Two distinct BPS ground states depending on magnetic charge presence

Different superalgebras associated with each ground state

A holographic renormalization method for conserved charges

Abstract

We determine the BPS bounds in minimal gauged supergravity in four spacetime dimensions. We concentrate on asymptotically anti-de Sitter (AdS) spacetimes, and find that there exist two disconnected BPS ground states of the theory, depending on the presence of magnetic charge. Each of these ground states comes with a different superalgebra and a different BPS bound, which we derive. As a byproduct, we also demonstrate how the supersymmetry algebra has a built-in holographic renormalization method to define finite conserved charges.