1997/03/31 by Hitoshi Nishino · 31 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Dimensional reduction #Heterotic string theory #Higher-dimensional supergravity #Limit (mathematics) #Lorentz covariance #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Supergravity #Superspace #Superstring theory #hep-th
paper · pdf · doi:10.1016/s0370-2693(98)00374-8
published in Physics Letters B 428(1-2), 85-94 (Elsevier BV) · An amendment in eq.(3.3a), a paragraph added in pages 6 - 7 with new eq.(3.12), other minor changes like wording and updated references, 14 pages, latex, no figures
arxiv created 1997/04/12 · openalex publication_date 1998/05/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a consistent theory of N=1 supergravity in twelve-dimensions with the signature (10,2). Even though the formulation uses two null vectors violating the manifest Lorentz covariance, all the superspace Bianchi identities are satisfied. After a simple dimensional reduction to ten-dimensions, this theory reproduces the N=1 supergravity in ten-dimensions, supporting the consistency of the system. We also show that our supergravity can be the consistent backgrounds for heterotic or type-I superstring in Green-Schwarz formulation, by confirming the kappa-invariance of the total action. This theory is supposed to be the purely N=1 supergravity sector for the field theory limit of the recently predicted F-theory in twelve-dimensions.