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

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).

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-7061-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-7062-5
Genre: Book Chapter

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 Creators:
Aschieri, Paolo, Author
Ferrara, Sergio, Author
Theisen, Stefan1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 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.

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 Dates: 2013-10-102014
 Publication Status: Published in print
 Pages: 20 pages. Contribution to the proceedings of the conference BUDS2013, Frascati
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 Identifiers: arXiv: 1310.2803
DOI: 10.1007/978-3-319-03774-5_2
URI: http://arxiv.org/abs/1310.2803
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Title: Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity (Springer Proceedings in Physics, 153)
Source Genre: Book
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 23 - 41 Identifier: -