ELECTRIC-MAGNETIC DUALITY ROTATIONS IN NONLINEAR ELECTRODYNAMICS

被引:372
作者
GIBBONS, GW
RASHEED, DA
机构
[1] D.A.M.T.P., University of Cambridge, Cambridge, CB3 9EW, Silver Street
关键词
D O I
10.1016/0550-3213(95)00409-L
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
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页码:185 / 206
页数:22
相关论文
共 18 条
[1]   PARTITION-FUNCTION REPRESENTATION FOR THE OPEN SUPERSTRING EFFECTIVE ACTION - CANCELLATION OF MOBIUS INFINITIES AND DERIVATIVE CORRECTIONS TO BORN-INFELD LAGRANGIAN [J].
ANDREEV, OD ;
TSEYTLIN, AA .
NUCLEAR PHYSICS B, 1988, 311 (01) :205-252
[2]   THE BORN-INFELD ACTION FROM CONFORMAL-INVARIANCE OF THE OPEN SUPERSTRING [J].
BERGSHOEFF, E ;
SEZGIN, E ;
POPE, CN ;
TOWNSEND, PK .
PHYSICS LETTERS B, 1987, 188 (01) :70-74
[3]   Foundations of the new field theory. [J].
Born, M ;
Infeld, L .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1934, 144 (A852) :0425-0451
[4]  
Born M, 1939, ANN I H POINCARE, V7, P155
[5]   LOOP CORRECTIONS TO SUPERSTRING EQUATIONS OF MOTION [J].
CALLAN, CG ;
LOVELACE, C ;
NAPPI, CR ;
YOST, SA .
NUCLEAR PHYSICS B, 1988, 308 (2-3) :221-284
[6]   STATIC ELECTROMAGNETIC GEON [J].
DEMIANSKI, M .
FOUNDATIONS OF PHYSICS, 1986, 16 (02) :187-190
[7]  
DOLIVEIRA H, 1994, CLASSICAL QUANT GRAV, V11, P1469
[8]   NON-LINEAR ELECTRODYNAMICS FROM QUANTIZED STRINGS [J].
FRADKIN, ES ;
TSEYTLIN, AA .
PHYSICS LETTERS B, 1985, 163 (1-4) :123-130
[9]  
HAWKING SW, HEPTH9504019
[10]   Drawn from the Dirac theory of the positron. [J].
Heisenberg, W. ;
Euler, H. .
ZEITSCHRIFT FUR PHYSIK, 1936, 98 (11-12) :714-732