Euclidean flows, solitons and wormholes in AdS from M-theory

TL;DR

This paper constructs and analyzes non-supersymmetric and supersymmetric Euclidean AdS4 solutions, including flows, solitons, and wormholes, within M-theory's supergravity framework, revealing their properties and uplift to eleven dimensions.

Contribution

It provides new explicit non-supersymmetric and supersymmetric Euclidean solutions in M-theory's supergravity, including their uplift formulas and symmetry properties.

Findings

Regular solutions have zero gravitational free energy.

Special parameter loci yield solutions with enhanced supersymmetry.

Uplift formulas to eleven-dimensional supergravity are explicitly provided.

Abstract

Multi-parametric families of non-supersymmetric EAdS$_{4}$ flows as well as asymptotically EAdS$_{4}$ solitons and wormholes are constructed within the four-dimensional $\textrm{SO}(8)$ gauged supergravity that describes the compactification of M-theory on $\textrm{S}^{7}$. More concretely, the solutions are found within the so-called STU-model that describes the $\textrm{U}(1)^4$ invariant sector of the theory. The on-shell action and gravitational free energy are computed for the regular solutions, the latter being zero for the wormholes irrespective of supersymmetry. There are special loci in parameter space yielding solutions with enhanced (super)symmetry. Examples include a supersymmetric EAdS$_{4}$ flow with $\textrm{SO}(4) \times \textrm{SO}(4)$ symmetry dual to a specific real mass deformation of ABJM on S$^{3}$ as well as a non-supersymmetric wormhole with $\textrm{SU}(3) \times \textrm{U}(1)^2$ symmetry. Uplift formulae for these and other examples to Euclidean solutions of eleven-dimensional supergravity are presented and their complex nature discussed.