T Self-Dual Transverse Space and Gravity Trapping

TL;DR

This paper explores a gravity trapping model with a Z_2 symmetry interpreted as a self-dual transformation, constructing explicit supergravity solutions that localize gravity and potentially transmit supersymmetry breaking.

Contribution

It introduces a novel interpretation of the orbifold symmetry as a self-dual transformation and constructs explicit supergravity solutions with a finite Planck scale on the brane.

Findings

Explicit supergravity realizations in 10 and 11 dimensions.

Finite lower-dimensional Planck scale on the brane.

Potential mechanism for supersymmetry breaking transmission.

Abstract

We advocate that the orbifold Z_2 symmetry of the gravity trapping model proposed by Randall and Sundrum can be seen, in appropriate coordinates, as a symmetry that exchanges the short distances with the large ones. Using diffeomorphism invariance, we construct extensions defined by patch glued together. A singularity occurs at the junction and it is interpreted as a brane, the jump brane, of codimension one. We give explicit realization in ten and eleven dimensional supergravity and show that the lower dimensional Planck scale on the brane is finite. The standard model would be trapped on a supersymmetric brane located at the origin whereas the jump brane would surround it at a finite distance. The bulk interactions could transmit the supersymmetry breaking from the jump brane to the SM brane.