Electricmagnetic duality rotations in nonlinear electrodynamics
Abstract
We show that there is a function of one variable's worth of Lagrangians for a single Maxwell field coupled to gravity whose equations of motion admit electricmagnetic duality. Such Lagrangians are given by solutions of the HamiltonJacobi equation for timelike geodesics in Witten's twodimensional black hole. Among them are the BornInfeld Langrangian which arises in open string theory. We investigate the effect of the axion and the dilaton in the open superstring case and we show that this theory loses its electricmagnetic duality invariance when one considers the higher order electromagnetic field terms. We discuss some implications for black holes in string theory and an extension to 2 kforms in 4 k spacetime dimensions.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00409L
 arXiv:
 arXiv:hepth/9506035
 Bibcode:
 1995NuPhB.454..185G
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 27 pages Latex. Revised version including new section on open string theory in which we find the inclusion of the axion breaks the electricmagnetic duality symmetry when one considers higher order electomagnetic field terms. To appear in Nucl Phys B