Little Randall-Sundrum Model and a Multiply Warped Spacetime

TL;DR

This paper proposes a model with multiply warped extra dimensions that combines the benefits of the Little Randall-Sundrum scenario with a natural explanation of the hierarchy problem, by localizing fields in a doubly warped spacetime.

Contribution

It introduces a multiply warped spacetime framework that supports a low UV brane scale while naturally explaining the hierarchy between the Planck and weak scales.

Findings

Achieves a low UV brane scale compatible with LRS models.

Provides a geometric explanation for the hierarchy problem.

Generalizes to n-warped spacetimes.

Abstract

A recent work has investigated the possibility that the mass scale for the ultraviolet (UV) brane in the Randall-Sundrum (RS) model is of the order 10^3 TeV. In this so called ``Little Randall-Sundrum'' (LRS) model the bounds on the gauge sector are less severe, permitting a lower Kaluza-Klein scale and cleaner discovery channels. However employing a low UV scale nullifies one major appeal of the RS model; namely the elegant explanation of the hierarchy between the Planck and weak scales. In this work we show that by localizing the gauge, fermion and scalar sector of the LRS model on a five dimensional slice of a doubly warped spacetime one may obtain the low UV brane scale employed in the LRS model and motivate the weak-Planck hierarchy. We also consider the generalization to an n-warped spacetime.