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- W1625628059 abstract "AbstractIn our recent paper [1], we presented the differential geometry of five-dimensionalN = 1 anti-de Sitter superspace AdS 5|8 =SU(2,2|1)/SO(4,1)×U(1) and developedthe harmonic and the projective superspace settings to formulate off-shell super-symmetric theories in AdS 5|8 . Here we give a brief review of the geometry and theharmonic superspace construction, and also elaborate on vector supermultiplets. For rigid supersymmetric theories with eight supercharges in D ≤ 6 space-time dimen-sions, two powerful off-shell formalisms exist: harmonic superspace (HS) [2] and projectivesuperspace (PS) [3]. HS is known to be useful, e.g., for the quantum computations in 4DN = 2,4 supersymmetric Yang-Mills theories. PS is useful, e.g., for the explicit construc-tion of hyperk¨ahler metrics. Unlike the case of rigid supersymmetry, there are still manyopen questions as far as supergravity extensions of both approaches are concerned. In theHS setting, the prepotential structure of 4D N = 2 supergravity is well understood [4],but a fully covariant formalism of differential geometry (similar to that existing for 4DN = 1 supergravity) is still missing. As to a PS approach to supergravity-matter systems,it has only recently been developed in [5] for five-dimensional N = 1 supergravity, as arealization of the program put forward in [1].The main thrust of [1] was to make use of the differential geometry of the 5D N = 1anti-de Sitter superspace AdS" @default.
- W1625628059 created "2016-06-24" @default.
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- W1625628059 date "2008-01-01" @default.
- W1625628059 modified "2023-09-25" @default.
- W1625628059 title "On 5D AdS SUSY and Harmonic Superspace" @default.
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