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We construct the 12-dimensional exceptional field theory associated to thegroup $\mathrm{SL}(2) \times \mathbb{R}^+$ . Demanding the closure of thealgebra of local symmetries leads to a constraint, known as the sectioncondition, that must be imposed on all fields. This constraint has twoinequivalent solutions, one giving rise to 11-dimensional supergravity and theother leading to F-theory. Thus $\mathrm{SL}(2) \times \mathbb{R}^+$exceptional field theory contains both F-theory and M-theory in a single12-dimensional formalism.

An Action for F-theory: $\mathrm{SL}(2) \times \mathbb{R}^+$ Exceptional Field Theory