The Geometry, Branes and Applications of Exceptional Field Theory

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Abstract

This is a review of exceptional field theory: a generalisation of Kaluza-Klein theory that unifies the metric and $p$-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates may be viewed as conjugate to brane winding modes. This unifies the maximal supergravities, treating their previously-hidden exceptional Lie symmetries as a fundamental geometric symmetry. Duality orbits of solutions simplify into single objects, that in many cases have simple geometric interpretations, for instance as wave or monopole-type solutions. It also provides a route to explore exotic or non-geometric aspects of M-theory, such as exotic branes, U-folds, and more novel sorts of non-Riemannian spaces.
Original languageEnglish
Article number2030014
Number of pages158
JournalInternational Journal of Modern Physics A : Particles & Fields, Gravitation, Cosmology, Nuclear Physics
Volume35
Issue number30
DOIs
Publication statusPublished - 30 Oct 2020

Bibliographical note

157 pages (including refs), invited review for International Journal of Modern Physics A, v2: refs added + typos fixed, v3: to match published version

Keywords

  • hep-th

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