A positive energy theorem for AdS solitons

The uncharged AdS4 soliton has been recently shown to be continuously connected to a magnetic, supersymmetric AdS4 soliton within N=8 gauged supergravity. By constructing the asymptotic superalgebra, we establish a positive energy theorem for the magnetic AdS4 solitons admitting well-defined asympto...

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Main Authors: Andrés Anabalon, Mattia Cesàro, Antonio Gallerati, Alfredo Giambrone, Mario Trigiante
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323005609
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author Andrés Anabalon
Mattia Cesàro
Antonio Gallerati
Alfredo Giambrone
Mario Trigiante
author_facet Andrés Anabalon
Mattia Cesàro
Antonio Gallerati
Alfredo Giambrone
Mario Trigiante
author_sort Andrés Anabalon
collection DOAJ
description The uncharged AdS4 soliton has been recently shown to be continuously connected to a magnetic, supersymmetric AdS4 soliton within N=8 gauged supergravity. By constructing the asymptotic superalgebra, we establish a positive energy theorem for the magnetic AdS4 solitons admitting well-defined asymptotic Killing spinors, antiperiodic on a contractible S1. We show that there exists only one discrete solution endowed with these boundary conditions satisfying the bound, the latter being saturated by the null energy supersymmetric configuration. Despite having negative energy, the uncharged AdS4 soliton does not contradict the positive energy theorem, as it does not admit well-defined asymptotic Killing spinors.
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spelling doaj.art-59e12bcae07d4b51948345f4d80135cd2023-11-10T04:15:52ZengElsevierPhysics Letters B0370-26932023-11-01846138226A positive energy theorem for AdS solitonsAndrés Anabalon0Mattia Cesàro1Antonio Gallerati2Alfredo Giambrone3Mario Trigiante4Departamento de Ciencias, Facultad de artes Liberales, Universidad Adolfo Ibáñez, Avenida Padre Hurtado 750, Viña del Mar, ChileDepartamento de Física Teórica and Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain; Corresponding author.Politecnico di Torino, Dipartimento di Scienza Applicata e Tecnologia, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyPolitecnico di Torino, Dipartimento di Scienza Applicata e Tecnologia, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Via Pietro Giuria 1, 10125 Torino, ItalyPolitecnico di Torino, Dipartimento di Scienza Applicata e Tecnologia, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Via Pietro Giuria 1, 10125 Torino, ItalyThe uncharged AdS4 soliton has been recently shown to be continuously connected to a magnetic, supersymmetric AdS4 soliton within N=8 gauged supergravity. By constructing the asymptotic superalgebra, we establish a positive energy theorem for the magnetic AdS4 solitons admitting well-defined asymptotic Killing spinors, antiperiodic on a contractible S1. We show that there exists only one discrete solution endowed with these boundary conditions satisfying the bound, the latter being saturated by the null energy supersymmetric configuration. Despite having negative energy, the uncharged AdS4 soliton does not contradict the positive energy theorem, as it does not admit well-defined asymptotic Killing spinors.http://www.sciencedirect.com/science/article/pii/S0370269323005609
spellingShingle Andrés Anabalon
Mattia Cesàro
Antonio Gallerati
Alfredo Giambrone
Mario Trigiante
A positive energy theorem for AdS solitons
Physics Letters B
title A positive energy theorem for AdS solitons
title_full A positive energy theorem for AdS solitons
title_fullStr A positive energy theorem for AdS solitons
title_full_unstemmed A positive energy theorem for AdS solitons
title_short A positive energy theorem for AdS solitons
title_sort positive energy theorem for ads solitons
url http://www.sciencedirect.com/science/article/pii/S0370269323005609
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