SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton

Details SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton

1995-09-25

arxiv.org/abs/hep-th/9509141v1

Phys.Lett.B365:46-50,1996

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1016/0370-2693(95)01272-9

The most general Lagrangian for non-linear electrodynamics coupled to an axion $a$ and a dilaton $\phi$ with $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion is $$ -\half\left(\nabla\phi\right)^2 - \half e^{2\phi}\left(\nabla a\right)^2 + \fraction{1}{4}aF_{\mu\nu}\star F^{\mu\nu} + L_{\rm inv}(g_{\mu\nu},e^{-\frac{1}{2}\phi}F_{\rho\sigma}) $$ where $L_{\rm inv}(g_{\mu\nu},F_{\rho\sigma})$ is a Lagrangian whose equations of motion are invariant under electric-magnetic duality rotations. In particular there is a unique generalization of Born-Infeld theory admitting $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion.

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