Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-03-29
Phys.Lett. B428 (1998) 85-94
Physics
High Energy Physics
High Energy Physics - Theory
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 r
Scientific paper
10.1016/S0370-2693(98)00374-8
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.
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