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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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Elsevier
2023-11-01
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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. |
first_indexed | 2024-03-11T11:41:27Z |
format | Article |
id | doaj.art-59e12bcae07d4b51948345f4d80135cd |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-03-11T11:41:27Z |
publishDate | 2023-11-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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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