Fermions in a warped resolved conifold
Abstract
We investigated the localization of the spinorial field in a braneworld built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario provides a geometric flow that controls the singularity at the origin and changes the properties of the fermion in this background. Furthermore, due the cylindrical symmetry according to the 3-brane and a smoothed warp factor, this geometry can be regarded as a near brane correction of the string-like branes. This geometry allows a normalizable and well-defined massless mode whose decay and value on the brane depend on the resolution parameter. For the Kaluza-Klein modes, resolution parameter also controls the height of the barrier of the volcano potential.
Cite
@article{arxiv.1307.2317,
title = {Fermions in a warped resolved conifold},
author = {D. M. Dantas and J. E. G. Silva and C. A. S. Almeida},
journal= {arXiv preprint arXiv:1307.2317},
year = {2015}
}
Comments
14 pages, 12 figures. To appear in Physics Letters B