Twistor description of spinning particles in AdS

Abstract The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D = 4, 5, 7, which linearises invariance under the AdS isometry group Sp(4; K $$ \mathbb{K} $$) for K=ℝ,ℂ,ℍ $$ \mathbb{K}=\mathbb{R},\mathbb{C},\mathrm{\mathbb{H}} $$, is generalized to the massless...

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Main Authors: Alex S. Arvanitakis, Alec E. Barns-Graham, Paul K. Townsend
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP01(2018)059
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author Alex S. Arvanitakis
Alec E. Barns-Graham
Paul K. Townsend
author_facet Alex S. Arvanitakis
Alec E. Barns-Graham
Paul K. Townsend
author_sort Alex S. Arvanitakis
collection DOAJ
description Abstract The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D = 4, 5, 7, which linearises invariance under the AdS isometry group Sp(4; K $$ \mathbb{K} $$) for K=ℝ,ℂ,ℍ $$ \mathbb{K}=\mathbb{R},\mathbb{C},\mathrm{\mathbb{H}} $$, is generalized to the massless N -extended “spinning particle”. The twistor variables are gauge invariant with respect to the initial N local worldline supersymmetries; this simplifies aspects of the quantum theory such as implications of global gauge anomalies. We also give details of the two-supertwistor form of the superparticle, in particular the massive superparticle on AdS5.
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spelling doaj.art-051dbbf2956f412296b18761f4df9a882022-12-21T19:52:53ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018114810.1007/JHEP01(2018)059Twistor description of spinning particles in AdSAlex S. Arvanitakis0Alec E. Barns-Graham1Paul K. Townsend2Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of CambridgeAbstract The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D = 4, 5, 7, which linearises invariance under the AdS isometry group Sp(4; K $$ \mathbb{K} $$) for K=ℝ,ℂ,ℍ $$ \mathbb{K}=\mathbb{R},\mathbb{C},\mathrm{\mathbb{H}} $$, is generalized to the massless N -extended “spinning particle”. The twistor variables are gauge invariant with respect to the initial N local worldline supersymmetries; this simplifies aspects of the quantum theory such as implications of global gauge anomalies. We also give details of the two-supertwistor form of the superparticle, in particular the massive superparticle on AdS5.http://link.springer.com/article/10.1007/JHEP01(2018)059Extended SupersymmetryField Theories in Higher DimensionsSigma ModelsSpace-Time Symmetries
spellingShingle Alex S. Arvanitakis
Alec E. Barns-Graham
Paul K. Townsend
Twistor description of spinning particles in AdS
Journal of High Energy Physics
Extended Supersymmetry
Field Theories in Higher Dimensions
Sigma Models
Space-Time Symmetries
title Twistor description of spinning particles in AdS
title_full Twistor description of spinning particles in AdS
title_fullStr Twistor description of spinning particles in AdS
title_full_unstemmed Twistor description of spinning particles in AdS
title_short Twistor description of spinning particles in AdS
title_sort twistor description of spinning particles in ads
topic Extended Supersymmetry
Field Theories in Higher Dimensions
Sigma Models
Space-Time Symmetries
url http://link.springer.com/article/10.1007/JHEP01(2018)059
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