A New Lorentz Violating Nonlocal Field Theory From String-Theory

TL;DR

This paper constructs a novel four-dimensional nonlocal field theory derived from string theory, which breaks Lorentz invariance, features particles with finite volume, and allows for superluminal propagation under specific conditions.

Contribution

It introduces a new Lorentz-violating nonlocal field theory from string theory with unique particle properties and modified dispersion relations.

Findings

Fundamental particles occupy finite volume proportional to R-charge.

The theory allows for superluminal particle velocities under certain conditions.

At low energies, it resembles a deformed N=4 Super Yang-Mills theory.

Abstract

A four-dimensional field theory with a qualitatively new type of nonlocality is constructed from a setting where Kaluza-Klein particles probe toroidally compactified string theory with twisted boundary conditions. In this theory fundamental particles are not pointlike and occupy a volume proportional to their R-charge. The theory breaks Lorentz invariance but appears to preserve spatial rotations. At low energies, it is approximately N=4 Super Yang-Mills theory, deformed by an operator of dimension seven. The dispersion relation of massless modes in vacuum is unchanged, but under certain conditions in this theory, particles can travel at superluminal velocities.