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

Felix J. Rudolph

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arXiv · 1703.10899

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

Felix J. Rudolph

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Abstract

Exceptional Field Theory employs an extended spacetime to make supergravity fully covariant under the U-duality groups of M-theory. The 12-dimensional EFT associated to the group $SL(2)\times\mathbb{R}^+$ together with its action is presented. 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 Type IIB supergravity and F-theory. Thus $SL(2)\times\mathbb{R}^+$ Exceptional Field Theory contains both F-theory and M-theory in a single 12-dimensional formalism.

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Felix J. Rudolph. 2017-03-31. $SL(2)\times\mathbb{R}^+$ Exceptional Field Theory: An Action for F-Theory. https://arxiv.org/abs/1703.10899

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