Infra-red fixed points at the boundary

TL;DR

This paper demonstrates that in certain gauged supergravity models, the IR fixed points occur at the boundary of the scalar field space where the spacetime metric becomes singular, complementing known UV fixed points.

Contribution

It reveals the location of IR fixed points at the boundary of the scalar manifold in gauged supergravities with eight supercharges.

Findings

IR fixed points are on the boundary of the scalar manifold

Space-time metric becomes singular at IR fixed points

UV fixed points are within the physical domain

Abstract

Gauged supergravities (in four and five dimensions) with eight supercharges and with vector supermultiplets have a unique ultra-violet (UV) fixed point on a given physical domain \cal M of the space of the scalar fields. We show that in these models the infra-red (IR) fixed points are located on the boundary of \cal M, where the space-time metric becomes singular.