A ladder of topologically non-trivial non-BPS states
High Energy Physics - Theory
2015-06-19 v1
Abstract
We consider a simple quiver gauge theory with gauge group U(r1) x U(r2) and a Higgs field in the bi-fundamental representation. The back-ground for this theory is a compact K\"ahler manifold M. For a careful but natural choice of Higgs field potential the second order field equations can be replaced with a set of first order BPS equations. We show that the theory admits two energy gaps: The vacuum is topologically trivial but has finite, non-zero energy and is not a BPS state. The second gap lies between the vacuum and the first BPS state. In this gap we find a ladder of states with non-trivial topology, at equidistant energy levels. We give a semi-explicit construction for such topologically non-trivial non-BPS states.
Keywords
Cite
@article{arxiv.1404.6053,
title = {A ladder of topologically non-trivial non-BPS states},
author = {Daniele Dorigoni and Norman A. Rink},
journal= {arXiv preprint arXiv:1404.6053},
year = {2015}
}
Comments
20 pages, 2 figures