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

Fuente: arXiv
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Main Authors: Anabalón, Andrés, Arboleya, Álvaro, Guarino, Adolfo
Format: Preprint
Published: 2023
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author Anabalón, Andrés
Arboleya, Álvaro
Guarino, Adolfo
author_facet Anabalón, Andrés
Arboleya, Álvaro
Guarino, Adolfo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_13955
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Euclidean flows, solitons and wormholes in AdS from M-theory
Anabalón, Andrés
Arboleya, Álvaro
Guarino, Adolfo
High Energy Physics - Theory
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.
title Euclidean flows, solitons and wormholes in AdS from M-theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2312.13955