Abstract
Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives ∇A, the torsion supertensors TABC, and curvature supertensors RABcd in 10D superspaces. Starting from the proposal that an unconstrained supergravity prepotential for the 11D, \( \mathcal{N} \) = 1 theory is described by a scalar superfield, considerations for supergravity prepotentials in the 10D theories are enumerated. We derive infinitesimal 10D superspace Weyl transformation laws and discover ten possible 10D, \( \mathcal{N} \) = 1 superfield supergravity prepotentials. The first identification of all off-shell ten dimensional supergeometrical Weyl field strength tensors, constructed from respective torsions, is presented.
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James Gates, S., Hu, Y. & Hazel Mak, SN. Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces. J. High Energ. Phys. 2021, 74 (2021). https://doi.org/10.1007/JHEP03(2021)074
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DOI: https://doi.org/10.1007/JHEP03(2021)074