Duality Invariant Born-Infeld Theory

Abstract

We present an Sp(2n,R) duality invariant Born-Infeld U(1)^2n gauge theory with scalar fields. To implement this duality we had to introduce complex gauge fields and as a result the rank of the duality group is only half as large as that of the corresponding Maxwell gauge theory with the same number of gauge fields. The latter is self-dual under Sp(4n,R), the largest allowed duality group. A special case appears for n=1 when one can also write an SL(2,R) duality invariant Born-Infeld theory with a real gauge field. We also describe the supersymmetric version of the above construction.

10 pages, LaTeX file; to appear in the Yuri Golfand memorial volume; typos corrected, references added

Cited by in corpus (17)

• Supersymmetric Duality Rotations
• On the component structure of N = 1 supersymmetric nonlinear electrodynamics
• On the Goldstino actions and their symmetries
• Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• Solitons and black holes in Einstein-Born-Infeld-dilaton theory
• Nonlinear Self-Duality in Even Dimensions
• Non-Linear Electrodynamics in Curved Backgrounds
• N=2 Born-Infeld Attractors
• Duality-invariant (super)conformal higher-spin models
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• Duality-invariant extensions of Einstein-Maxwell theory
• Proof of a Symmetrized Trace Conjecture for the Abelian Born-Infeld Lagrangian
• Non-compact duality, super-Weyl invariance and effective actions
• Non-Linear Realization of ${\aleph }_0$-Extended Supersymmetry
• Studies of low-energy effective actions in supersymmetric field theories
• On Multifield Born and Born-Infeld Theories and their non-Abelian Generalizations