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

TL;DR

This paper develops a novel N=2 chiral supergravity theory in 12 dimensions, demonstrating its consistency through dimensional reduction to type IIB supergravity and its suitability as a background for super (2+2)-brane models, aligning with F-theory predictions.

Contribution

It introduces a new N=2 chiral supergravity in 12D, connecting it to F-theory and super (2+2)-brane frameworks, and verifies its consistency via dimensional reduction.

Findings

Reproduces type IIB supergravity from 12D supergravity.

Shows supergravity as a consistent background for super (2+2)-brane.

Aligns with F-theory predictions in 12D.

Abstract

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 supergravity 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.