Abstract
In this paper we study supersymmetric field theories on an AdS p × S q spacetime that preserves their full supersymmetry. This is an interesting example of supersymmetry on a non-compact curved space. The supersymmetry algebra on such a space is a (p − 1)-dimensional superconformal algebra, and we classify all possible algebras that can arise for p ≥ 3. In some AdS 3 cases more than one superconformal algebra can arise from the same field theory. We discuss in detail the special case of four dimensional field theories with \( \mathcal{N}=1 \) and \( \mathcal{N}=2 \) supersymmetry on AdS 3 × S 1.
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Aharony, O., Berkooz, M., Karasik, A. et al. Supersymmetric field theories on AdS p × S q . J. High Energ. Phys. 2016, 66 (2016). https://doi.org/10.1007/JHEP04(2016)066
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DOI: https://doi.org/10.1007/JHEP04(2016)066