String Theory and The Velo-Zwanziger Problem
Abstract
We examine the behavior of the leading Regge trajectory of the open bosonic string in a uniform electromagnetic background and present a consistent set of Fierz-Pauli conditions for these symmetric tensors that generalizes the Argyres-Nappi spin-2 result. These equations indicate that String Theory does bypass the Velo-Zwanziger problem, i.e. the loss of causality experienced by a massive high-spin field minimally coupled to electromagnetism. Moreover, we provide some evidence that only the first Regge trajectory can be described in isolation and show that the open-string spectrum is free of ghosts in weak constant backgrounds. Finally, we comment on the roles of the critical dimension and of the gyromagnetic ratio.
Cite
@article{arxiv.1011.6411,
title = {String Theory and The Velo-Zwanziger Problem},
author = {Massimo Porrati and Rakibur Rahman and Augusto Sagnotti},
journal= {arXiv preprint arXiv:1011.6411},
year = {2015}
}
Comments
45 pages; to appear in Nuclear Physics B; references added, minor typos corrected