Orientiworld

TL;DR

The paper develops a string theory framework called Orientiworld that embeds brane world scenarios with infinite-volume extra dimensions, reproduces 4D gravity, and constructs realistic particle physics models with chiral generations.

Contribution

It introduces a consistent string theory setup with orientifold planes and D-branes that achieves 4D gravity and realistic gauge theories, including a supersymmetric model with three chiral generations.

Findings

4D gravity is induced at the quantum level on D3-branes.

A scenario with TeV-scale string physics and crossover to 10D gravity at Hubble size.

Construction of an N=1 supersymmetric model with three chiral generations.

Abstract

We propose a consistent string theory framework for embedding brane world scenarios with infinite-volume extra dimensions. In this framework the Standard Model fields are localized on D3-branes sitting on top of an orientifold 3-plane. The transverse 6-dimensional space is a non-compact orbifold or a more general conifold. The 4-dimensional gravity on D3-branes is reproduced due to the 4-dimensional Einstein-Hilbert term induced at the quantum level. The orientifold 3-plane plays a crucial role, in particular, without it the D3-brane world-volume theories would be conformal due to the tadpole cancellation. We point out that in some cases the 4-dimensional Planck scale is controlled by the size of certain relevant (as opposed to marginal) orbifold blow-ups. We can then have a scenario with the desirable 4-dimensional Planck scale, the string scale of order TeV, and the cross-over to 10-dimensional gravity around the present Hubble size. We discuss some general features as well as concrete models in this ``Orientiworld'' framework, including those with D7-branes. We point out that the D7-brane gauge symmetry at the quantum level becomes part of the 4-dimensional gauge symmetry. We present an N=1 supersymmetric model with 3 chiral generations of quarks and leptons, where the original gauge group (which contains an SU(6) subgroup) can be Higgsed to obtain a Pati-Salam model with 3 chiral generations, the Pati-Salam Higgs fields required to break the gauge group further to that of the Standard Model, as well as the desired electroweak Higgs doublets. The superpotential in this model is such that we have precisely one heavy (top-like) generation.