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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2018-01-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-20T04:49:49Z |
format | Article |
id | doaj.art-051dbbf2956f412296b18761f4df9a88 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-20T04:49:49Z |
publishDate | 2018-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT alexsarvanitakis twistordescriptionofspinningparticlesinads AT alecebarnsgraham twistordescriptionofspinningparticlesinads AT paulktownsend twistordescriptionofspinningparticlesinads |