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

Sergei M. Kuzenko; Kai Turner

doi:10.1007/JHEP06(2023)142

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

Sergei M. Kuzenko, Kai Turner

Research output: Contribution to journal › Article › peer-review

4 Citations (Web of Science)

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.

Original language	English
Article number	142
Journal	Journal of High Energy Physics
Volume	2023
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2023)142
Publication status	Published - Jun 2023

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10.1007/JHEP06(2023)142Licence: CC BY

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title = "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 supersymmetric analogue of the Ba{\~n}ados metric, which is expected to be a deformation of the (p, q) AdS superspace geometry by a two-dimensional conformal (p, q) supercurrent multiplet.",

keywords = "Extended Supersymmetry, Superspaces",

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AB - 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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DO - 10.1007/JHEP06(2023)142

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JO - Journal of High Energy Physics

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

Abstract

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Conformal Field Theories with Higher Spin Symmetry and Duality Invariance

Advances in Conformal Field Theory with Extended Symmetry