Spacetime Noncommutativity in Models with Warped Extradimensions

TL;DR

This paper develops noncommutative deformations of Randall-Sundrum spacetime, exploring their effects on bulk particles and potential collider signatures, with implications for Lorentz violation and observable physics.

Contribution

It introduces consistent noncommutative models of warped extra dimensions with localized Poisson tensors, analyzing their impact on bulk particles and collider phenomenology.

Findings

Noncommutative deformations solve Einstein equations with position-dependent Poisson tensors.

Localized NC effects induce Lorentz-violating operators affecting bulk particles.

High-energy collider observables are significantly enhanced compared to low-energy and astrophysical signals.

Abstract

We construct consistent noncommutative (NC) deformations of the Randall-Sundrum spacetime that solve the NC Einstein equations with a non-trivial Poisson tensor depending on the fifth coordinate. In a class of these deformations where the Poisson tensor is exponentially localized on one of the branes (the NC-brane), we study the effects on bulk particles in terms of Lorentz-violating operators induced by NC-brane interactions. We sketch two models in which massive bulk particles mediate NC effects to an almost-commutative SM-brane, such that observables at high energy colliders are enhanced with respect to low energy and astrophysical observables.