Abstract
We consider bosonic supersymmetric backgrounds of ten-dimensional conformal supergravity. Up to local conformal isometry, we classify the maximally supersymmetric backgrounds, determine their conformal symmetry superalgebras and show how they arise as near-horizon geometries of certain half-BPS backgrounds or as a plane-wave limit thereof. We then show how to define Yang-Mills theory with rigid supersymmetry on any supersymmetric conformal supergravity background and, in particular, on the maximally supersymmetric backgrounds. We conclude by commenting on a striking resemblance between the supersymmetric backgrounds of ten-dimensional conformal supergravity and those of eleven-dimensional Poincaré supergravity.
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de Medeiros, P., Figueroa-O’Farrill, J. Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions. J. High Energ. Phys. 2016, 87 (2016). https://doi.org/10.1007/JHEP03(2016)087
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DOI: https://doi.org/10.1007/JHEP03(2016)087