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arXiv · 2007.05097

Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces

S. James Gates, Jr.·Yangrui Hu·S. -N. Hazel Mak
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Abstract

Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives $\nabla{}_{\underline A}$, the torsion supertensors $T{}_{{\underline A} \, {\underline B}}{}^{{\underline C}}$, and curvature supertensors $R{}_{{\underline A} \, {\underline B}}{}_{\, \underline c} {}^{\underline d}$ 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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S. James Gates, Jr., Yangrui Hu, S. -N. Hazel Mak. 2020-07-09. Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces. https://doi.org/10.1007/jhep03(2021)074

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