A Note on Duality Symmetry in Nonlinear Gauge Theories

Abstract

An intriguing connection, based on duality symmetry, between ordinary (commutative) Born-Infeld type theory and non-commutative Maxwell type theory, is pointed out. Both discrete as well as continuous duality transformations are considered and their implications for self duality condition and Legendre transformations are analysed.

9 pages, LaTex

References in corpus (4)

• Testing Non-commutative QED, Constructing Non-commutative MHD
• Superluminal Noncommutative Photons
• Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity

Cited by in corpus (6)

• Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
• Self-duality, helicity conservation and normal ordering in nonlinear QED
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Issues on 3D Noncommutative Electromagnetic Duality
• Born-Infeld Electrodynamics and Euler-Heisenberg-like Model: outstanding examples of the lack of commutativity among quantized truncated actions and truncated quantized actions
• Formulation of Galilean relativistic Born-Infeld theory