Gravitating Self-dual Chern-Simons Solitons
General Relativity and Quantum Cosmology
2010-11-19 v2
Abstract
Self-dual solitons of Chern-Simons Higgs theory are examined in curved spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs theory within path integral formalism and study various aspects of dual formulation including derivation of Bogomolnyi type bound. We find all possible rotationally-symmetric soliton configurations carrying magnetic flux and angular momentum when underlying spatial manifolds of these objects comprise a cone, a cylinder, and a two sphere.
Cite
@article{arxiv.gr-qc/0102104,
title = {Gravitating Self-dual Chern-Simons Solitons},
author = {Bok Keun Chung and Jin-Mo Chung and Seongtag Kim and Yoonbai Kim},
journal= {arXiv preprint arXiv:gr-qc/0102104},
year = {2010}
}
Comments
38 pages, 8 figures (Pslatex files are included in the text.) Two references are added. To appear in Annals of Physics