PoS - Proceedings of Science
Volume 292 - Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2016) - Workshop on Geometry and Physics, Ringberg Castle, 20-25 November 2016, invited contributions
$SL(2)\times\mathbb{R}^+$ Exceptional Field Theory: An Action for F-Theory
F. Rudolph
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Pre-published on: October 04, 2017
Published on: October 05, 2017
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.
DOI: https://doi.org/10.22323/1.292.0113
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