SL(2,R) duality-symmetric action for electromagnetic theory with electric and magnetic sources

Journal Article · Sun Dec 15 04:00:00 EST 2013 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.09.015· OSTI ID:22224260

Lee, Choonkyu ^[1]; Min, Hyunsoo ^[2]

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1. Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, Seoul 151-747 (Korea, Republic of)
2. Department of Physics, University of Seoul, Seoul 130-743 (Korea, Republic of)

For the SL(2,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{sup μ} and B{sup μ} in a judicious way. On the two potentials A{sup μ} and B{sup μ} the SL(2,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,Z)-invariant action. Also given is a Zwanziger-type action for SL(2,R) duality-invariant Born–Infeld electrodynamics which can be important for D-brane dynamics in string theory. -- Highlights: •We formulate a local, manifestly duality-symmetric, Zwanziger-type action. •Maxwell electrodynamics is generalized to include dilaton and axion fields. •SL(2,R) symmetry is manifest. •We formulate a local, manifestly duality-symmetric, nonlinear Born–Infeld action with SL(2,R) symmetry.

• OSTI ID: 22224260
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Vol. 339; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DUALITY
ELECTRODYNAMICS
NONLINEAR PROBLEMS
POTENTIALS
STRING MODELS
STRING THEORY
SYMMETRY
TRANSFORMATIONS