A non-singular infra-red flow from D=5 gauged supergravity

TL;DR

This paper explores domain wall solutions in 5D supergravity with a specific superpotential, linking them to M-theory compactifications, and discusses their asymptotic behaviors and potential implications for cosmological constants.

Contribution

It introduces a new class of non-singular infra-red flow solutions in 5D gauged supergravity derived from M-theory considerations.

Findings

Identifies two extrema of the superpotential corresponding to UV and IR fixed points.

Describes conditions under which solutions approach AdS boundary or flat spacetime.

Analyzes run-away potentials leading to dilatonic domain walls with vanishing cosmological constant.

Abstract

We discuss domain wall solutions of 5-dimensional supergravity corresponding to a cosine-superpotential, which is derived by a gauging of the two Abelian isometries of the scalar coset SU(2,1)/U(2). We argue that this potential can be obtained from M-theory compactification in the presence of G-fluxes and an M5-brane instanton gas. If we decouple the volume scalar of the internal space, the superpotential allows for two extrema, which are either ultra-violet or infra-red attractive. Asymptotically we approach therefore either the boundary or the Killing horizon of an anti-deSitter space or flat spacetime for a vanishing cosmological constant. If the volume scalar does not decouple, we obtain a run-away potential corresponding to dilatonic domain walls, which always run towards a vanishing cosmological constant.