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The unique conformally and duality-invariant theory of non-linear electrodynamics

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Angel Jesús Murcia Gil

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We study extensions of Maxwell electrodynamics which respect Lorentz invariance, gauge symmetry, conformal symmetry and are invariant under electromagnetic duality rotations.
We carefully derive and show that there exists a unique one-parameter family of theories that preserves all these properties. It receives the name of ModMax and we examine how Coulomb’s law is modified within this set of theories and the appearance of birefringence in vacuum

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The unique conformally and duality-invariant theory of non-linear electrodynamics