English

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

High Energy Physics - Theory 2023-07-12 v3 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We develop an embedding formalism for (p,q)(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\~nados metric, which is expected to be a deformation of the (p,q)(p,q) AdS superspace geometry by a two-dimensional conformal (p,q)(p,q) supercurrent multiplet.

Keywords

Cite

@article{arxiv.2303.03082,
  title  = {Embedding formalism for $(p,q)$ AdS superspaces in three dimensions},
  author = {Sergei M. Kuzenko and Kai Turner},
  journal= {arXiv preprint arXiv:2303.03082},
  year   = {2023}
}

Comments

44 pages; V2: typos corrected; V3: typos corrected

R2 v1 2026-06-28T09:03:15.876Z