Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-06
Nucl.Phys.B454:185-206,1995
Physics
High Energy Physics
High Energy Physics - Theory
27 pages Latex. Revised version including new section on open string theory in which we find the inclusion of the axion breaks
Scientific paper
10.1016/0550-3213(95)00409-L
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 electric-magnetic duality. Such Lagrangians are given by solutions of the Hamilton-Jacobi equation for timelike geodesics in Witten's two-dimensional black hole. Among them are the Born-Infeld Lagrangian 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 electric-magnetic 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 $2k$-forms in $4k$ spacetime dimensions.
Gibbons Gary W.
Rasheed D. A.
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