Anti–de Sitter flag superspace
Year: 2026
Type: article
Abstract: This work aims to develop a global formulation for N = 2 harmonic/projective anti–de Sitter (AdS) superspace AdS 4 | 8 × S 2 ≃ AdS 4 | 8 × C P 1 that allows for a simple action of superconformal (and hence AdS isometry) transformations. First of all, we provide an alternative supertwistor description of the N -extended AdS superspace in four dimensions, AdS 4 | 4 N , which corresponds to a realization of the connected component O S p 0 ( N | 4 ; R ) of the AdS isometry supergroup as S U ( 2 , 2 | N ) ∩ O S p ( N | 4 ; C ) . The proposed realization yields the following properties: (i) AdS 4 | 4 N is an open domain of the compactified N -extended Minkowski superspace, M ¯ 4 | 4 N ; (ii) the infinitesimal N -extended superconformal transformations naturally act on AdS 4 | 4 N ; and (iii) the isometry transformations of AdS 4 | 4 N are described by those superconformal transformations which obey a certain constraint. The obtained results for AdS 4 | 4 N are then applied to develop a supertwistor formulation for an AdS flag superspace AdS 4 | 8 × F 1 ( 2 ) that we identify with the N = 2 harmonic/projective AdS superspace. This construction makes it p
DOI: 10.1103/r56q-l5cx
Authors: Nowar E. Koning, Sergei M. Kuzenko
Institution: The University of Western Australia
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funder: Australian Research Council
OpenAlex ID: W4417468000