Supergravity Theories in $D\ge 12$ Coupled to Super p-Branes

Details Supergravity Theories in $D\ge 12$ Coupled to Super p-Branes Supergravity Theories in $D\ge 12$ Coupled to Super p-Branes

1998-07-28

arxiv.org/abs/hep-th/9807199v2

Nucl.Phys. B542 (1999) 217-261

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, latex, minor corrections of typos, mismatched indices, updated references, etc

Scientific paper

10.1016/S0550-3213(98)00821-9

We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10,2) and (11,2) with some technical details. Starting with N=1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we give N=2 chiral supergravity in 10+2 dimensions with its couplings to super (2+2)-brane. We also build an N=1 supergravity in 11+2 dimensions, coupled to supermembrane. All of these formulations utilize scalar (super)fields intact under supersymmetry, replacing the null-vectors introduced in their original formulations. This method makes all the equations SO(10,2) or SO(11,2) Lorentz covariant, up to modified Lorentz generators. We inspect the internal consistency of these formulations, in particular with the usage of the modified Lorentz generators for the extra coordinates.

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