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

Kai Turner

doi:10.26182/shr2-1c06

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

Kai Turner

Research output: Thesis › Master's Thesis

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Abstract

Field theories possessing anti-de Sitter supersymmetry are naturally realised in anti-de Sitter
superspaces. Uniquely, in three dimensions these anti-de Sitter superspaces exist in a variety of
incarnations, labelled by two integers (p,q) and denoted AdS(3|p,q). To this end, a coset construction
of AdS(3|p,q) is performed by utilising the supertwistor realisation of the superspace, and it is
consequently demonstrated that the supertwistor and supergravity realisations of AdS(3|p,q) are
equivalent. We develop a local coordinate system for the superspace and explore the supergeometry
in this coordinate system. Lastly, we present a bi-supertwistor realisation of AdS(3|p,q) which
provides a superembedding of the superspace

Original language	English
Qualification	Masters
Awarding Institution	The University of Western Australia
Supervisors/Advisors	Kuzenko, Sergei, Supervisor Buchbinder, Evgeny, Supervisor
Thesis sponsors	Australian Government Research Training Program
Award date	29 Sept 2023
DOIs	https://doi.org/10.26182/shr2-1c06
Publication status	Unpublished - 2023

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10.26182/shr2-1c06

THESIS - MASTER OF PHILOSOPHY - TURNER Kai Levi - 2023
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Embedding formalism for (p, q) AdS superspaces in three dimensions
Kuzenko, S. M. & Turner, K., Jun 2023, In: Journal of High Energy Physics. 2023, 6, 142.
Research output: Contribution to journal › Article › peer-review

Open Access
6 Link opens in a new tab Citations (Scopus)

Cite this

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

abstract = "Field theories possessing anti-de Sitter supersymmetry are naturally realised in anti-de Sitter superspaces. Uniquely, in three dimensions these anti-de Sitter superspaces exist in a variety of incarnations, labelled by two integers (p,q) and denoted AdS(3|p,q). To this end, a coset construction of AdS(3|p,q) is performed by utilising the supertwistor realisation of the superspace, and it is consequently demonstrated that the supertwistor and supergravity realisations of AdS(3|p,q) are equivalent. We develop a local coordinate system for the superspace and explore the supergeometry in this coordinate system. Lastly, we present a bi-supertwistor realisation of AdS(3|p,q) which provides a superembedding of the superspace",

keywords = "Supersymmetry, Superspace, Supertwistors, Bi-supertwistors, Anti-de Sitter space, Threedimensions, Coset construction, Superembedding",

author = "Kai Turner",

year = "2023",

doi = "10.26182/shr2-1c06",

language = "English",

school = "The University of Western Australia",

}

TY - THES

T1 - Embedding formalism for (p, q) AdS superspaces in three dimensions

AU - Turner, Kai

PY - 2023

Y1 - 2023

N2 - Field theories possessing anti-de Sitter supersymmetry are naturally realised in anti-de Sitter superspaces. Uniquely, in three dimensions these anti-de Sitter superspaces exist in a variety of incarnations, labelled by two integers (p,q) and denoted AdS(3|p,q). To this end, a coset construction of AdS(3|p,q) is performed by utilising the supertwistor realisation of the superspace, and it is consequently demonstrated that the supertwistor and supergravity realisations of AdS(3|p,q) are equivalent. We develop a local coordinate system for the superspace and explore the supergeometry in this coordinate system. Lastly, we present a bi-supertwistor realisation of AdS(3|p,q) which provides a superembedding of the superspace

AB - Field theories possessing anti-de Sitter supersymmetry are naturally realised in anti-de Sitter superspaces. Uniquely, in three dimensions these anti-de Sitter superspaces exist in a variety of incarnations, labelled by two integers (p,q) and denoted AdS(3|p,q). To this end, a coset construction of AdS(3|p,q) is performed by utilising the supertwistor realisation of the superspace, and it is consequently demonstrated that the supertwistor and supergravity realisations of AdS(3|p,q) are equivalent. We develop a local coordinate system for the superspace and explore the supergeometry in this coordinate system. Lastly, we present a bi-supertwistor realisation of AdS(3|p,q) which provides a superembedding of the superspace

KW - Supersymmetry

KW - Superspace

KW - Supertwistors

KW - Bi-supertwistors

KW - Anti-de Sitter space

KW - Threedimensions

KW - Coset construction

KW - Superembedding

U2 - 10.26182/shr2-1c06

DO - 10.26182/shr2-1c06

M3 - Master's Thesis

ER -

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

Abstract

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Research output

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

Cite this