Duality-symmetric Action for Electromagnetic Theory with Electric and Magnetic Sources

Abstract

For the SL(2,\textbf{R}) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials $A^{\mu }$ and $B^{\mu }$ in a judicious way. On the two potentials $A^{\mu }$ and $B^{\mu }$ the SL(2,\textbf{R}) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,\textbf{Z})-invariant action. Also given is a Zwanziger-type action for SL(2,\textbf{R}) duality-invariant Born-Infeld electrodynamics which can be important for D-brane dynamics in string theory.

20 pages

References in corpus (5)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Seeing the magnetic monopole through the mirror of topological surface states
• Electric-Magnetic Duality and Topological Insulators
• Janus and Multifaced Supersymmetric Theories
• Anomaly Constraints on Monopoles and Dyons

Cited by in corpus (2)

• On p-form gauge theories and their conformal limits
• Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane