Embedding formalism for (p, q) AdS superspaces in three dimensions

Abstract We develop an embedding formalism for (p, q) anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a super...

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Main Authors: Sergei M. Kuzenko, Kai Turner
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2023)142
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author Sergei M. Kuzenko
Kai Turner
author_facet Sergei M. Kuzenko
Kai Turner
author_sort Sergei M. Kuzenko
collection DOAJ
description Abstract We develop an embedding formalism for (p, q) anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a supersymmetric analogue of the Bañados metric, which is expected to be a deformation of the (p, q) AdS superspace geometry by a two-dimensional conformal (p, q) supercurrent multiplet.
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spelling doaj.art-d749ad9b03cb4c4291ef18924bdc62ce2023-09-24T11:06:13ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023613910.1007/JHEP06(2023)142Embedding formalism for (p, q) AdS superspaces in three dimensionsSergei M. Kuzenko0Kai Turner1Department of Physics M013, The University of Western AustraliaDepartment of Physics M013, The University of Western AustraliaAbstract We develop an embedding formalism for (p, q) anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a supersymmetric analogue of the Bañados metric, which is expected to be a deformation of the (p, q) AdS superspace geometry by a two-dimensional conformal (p, q) supercurrent multiplet.https://doi.org/10.1007/JHEP06(2023)142Extended SupersymmetrySuperspaces
spellingShingle Sergei M. Kuzenko
Kai Turner
Embedding formalism for (p, q) AdS superspaces in three dimensions
Journal of High Energy Physics
Extended Supersymmetry
Superspaces
title Embedding formalism for (p, q) AdS superspaces in three dimensions
title_full Embedding formalism for (p, q) AdS superspaces in three dimensions
title_fullStr Embedding formalism for (p, q) AdS superspaces in three dimensions
title_full_unstemmed Embedding formalism for (p, q) AdS superspaces in three dimensions
title_short Embedding formalism for (p, q) AdS superspaces in three dimensions
title_sort embedding formalism for p q ads superspaces in three dimensions
topic Extended Supersymmetry
Superspaces
url https://doi.org/10.1007/JHEP06(2023)142
work_keys_str_mv AT sergeimkuzenko embeddingformalismforpqadssuperspacesinthreedimensions
AT kaiturner embeddingformalismforpqadssuperspacesinthreedimensions