N = 2 Chiral Supergravity in ( 10 + 2 ) - Dimensions As Consistent Background for Super ( 2 + 2 ) - Brane

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چکیده

We present a theory of N = 2 chiral supergravity in (10 + 2)-dimensions. This formulation is similar to N = 1 supergravity presented recently using null-vectors in 12D. In order to see the consistency of this theory, we perform a simple dimensional reduction to ten-dimensions, reproducing the type IIB chiral supergravity. We also show that our su-pergravity can be consistent background for super (2 + 2)-brane theory, satisfying fermionic invariance of the total action. Such supergravity theory without manifest Lorentz invariance had been predicted by the recent F-theory in twelve-dimensions.

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تاریخ انتشار 1997