2020/07/31 by S. James Gates, S. James Gates, Jr., Yangrui Hu +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Curvature #Field (mathematics) #Infinitesimal #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Scalar (mathematics) #Scaling #Superfield #Supergravity #Superspace #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1007/jhep03(2021)074
LaTeX Twice, 45 pages, v2. contains additional references, v3. includes clarification between W-Z and S-S superspace, and relation to pure spinor formulations
openalex created_date 2020/07/16 · arxiv created 2021/01/14 · openalex publication_date 2021/03/01 · arxiv updated 2021/03/23 · openalex updated_date 2026/08/05
A bstract Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives ∇ A , the torsion supertensors T AB C , and curvature supertensors R ABc d in 10D superspaces. Starting from the proposal that an unconstrained supergravity prepotential for the 11D, N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> = 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, N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> = 1 superfield supergravity prepotentials. The first identification of all off-shell ten dimensional supergeometrical Weyl field strength tensors, constructed from respective torsions, is presented.