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Berman, David S.; Blair, Chris D. A.; Malek, Emanuel and Rudolph, Felix J. (2016): An action for F-theory: SL(2)R+ exceptional field theory. In: Classical and Quantum Gravity, Vol. 33, No. 19, 195009

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We construct the 12-dimensional exceptional field theory (EFT) associated to the group SL(2) x R+. Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that must be imposed on all fields. This constraint has two inequivalent solutions, one giving rise to 11-dimensional supergravity and the other leading to F-theory. Thus SL(2) x R+ EFT contains both F-theory and M-theory in a single 12-dimensional formalism.

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