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Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory

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Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1310.2803.pdf
(Preprint), 243KB

chp_2.pdf
(Any fulltext), 446KB

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Citation

Aschieri, P., Ferrara, S., & Theisen, S. (2014). Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory. In Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity (Springer Proceedings in Physics, 153) (pp. 23-41).


Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-7061-7
Abstract
We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action functionals as well as of equations of motion. We prove the conjecture that the action functional leading to Born-Infeld nonlinear electromagnetism, that is duality rotation invariant off shell and that is known to be a root of an algebraic equation of fourth order, is a hypergeometric function.