Self-dual Maxwell field in 3D gravity with torsion
arXiv:0805.3627 · doi:10.1103/PhysRevD.78.044037
Abstract
We study the system of self-dual Maxwell field coupled to 3D gravity with torsion, with Maxwell field modified by a topological mass term. General structure of the field equations reveals a new, dynamical role of the classical central charges, and gives a simple correspondence between self-dual solutions with torsion and their Riemannian counterparts. We construct two exact self-dual solutions, corresponding to the sectors with massless and massive Maxwell field, and calculate their conserved charges.
LATEX, 15 pages, v2: minor corrections