Dark energy and the spinning superparticle

Abstract We revisit the theory of background fields constructed on the BRST-algebra of a spinning particle with N $$ \mathcal{N} $$ = 4 worldline supersymmetry, whose spectrum contains the graviton but no other fields. On a generic background, the closure of the BRST-algebra implies the vacuum Einst...

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Main Authors: Daniel Bockisch, Ivo Sachs
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2025)110
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author Daniel Bockisch
Ivo Sachs
author_facet Daniel Bockisch
Ivo Sachs
author_sort Daniel Bockisch
collection DOAJ
description Abstract We revisit the theory of background fields constructed on the BRST-algebra of a spinning particle with N $$ \mathcal{N} $$ = 4 worldline supersymmetry, whose spectrum contains the graviton but no other fields. On a generic background, the closure of the BRST-algebra implies the vacuum Einstein equations with a cosmological constant that is undetermined. On the other hand, in the “vacuum” background with no metric, the cohomology is given by a collection of free scalar- and vector fields. However, we show that only certain combinations of linear excitations, involving a vector field, can be extended beyond the linear level in turn, an Einstein metric in space-time.
format Article
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spelling doaj-art-cd6ccd3654fe4532a134abd718fda06b2025-08-20T03:10:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025511810.1007/JHEP05(2025)110Dark energy and the spinning superparticleDaniel Bockisch0Ivo Sachs1Arnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenArnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenAbstract We revisit the theory of background fields constructed on the BRST-algebra of a spinning particle with N $$ \mathcal{N} $$ = 4 worldline supersymmetry, whose spectrum contains the graviton but no other fields. On a generic background, the closure of the BRST-algebra implies the vacuum Einstein equations with a cosmological constant that is undetermined. On the other hand, in the “vacuum” background with no metric, the cohomology is given by a collection of free scalar- and vector fields. However, we show that only certain combinations of linear excitations, involving a vector field, can be extended beyond the linear level in turn, an Einstein metric in space-time.https://doi.org/10.1007/JHEP05(2025)110Supergravity ModelsBRST QuantizationSupersymmetric Gauge TheorySupersymmetry
spellingShingle Daniel Bockisch
Ivo Sachs
Dark energy and the spinning superparticle
Journal of High Energy Physics
Supergravity Models
BRST Quantization
Supersymmetric Gauge Theory
Supersymmetry
title Dark energy and the spinning superparticle
title_full Dark energy and the spinning superparticle
title_fullStr Dark energy and the spinning superparticle
title_full_unstemmed Dark energy and the spinning superparticle
title_short Dark energy and the spinning superparticle
title_sort dark energy and the spinning superparticle
topic Supergravity Models
BRST Quantization
Supersymmetric Gauge Theory
Supersymmetry
url https://doi.org/10.1007/JHEP05(2025)110
work_keys_str_mv AT danielbockisch darkenergyandthespinningsuperparticle
AT ivosachs darkenergyandthespinningsuperparticle