A positive energy theorem for AdS solitons

Andrés Anabalon; Mattia Cesàro; Antonio Gallerati; Alfredo Giambrone; Mario Trigiante

doi:10.1016/j.physletb.2023.138226

A positive energy theorem for AdS solitons

Andrés Anabalon
, Mattia Cesàro
, Antonio Gallerati
, Alfredo Giambrone
, Mario Trigiante

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English
Article number	138226
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	846
DOIs	https://doi.org/10.1016/j.physletb.2023.138226
State	Published - 10 Nov 2023
Externally published	Yes

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abstract = "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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T1 - A positive energy theorem for AdS solitons

AU - Anabalon, Andrés

AU - Cesàro, Mattia

AU - Gallerati, Antonio

AU - Giambrone, Alfredo

AU - Trigiante, Mario

PY - 2023/11/10

Y1 - 2023/11/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85173759025

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DO - 10.1016/j.physletb.2023.138226

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SN - 0370-2693

VL - 846

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 138226

ER -

A positive energy theorem for AdS solitons

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