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arXiv · 2006.09777

The Geometry, Branes and Applications of Exceptional Field Theory

David S. Berman·Chris D. A. Blair
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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.

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David S. Berman, Chris D. A. Blair. 2020-06-17. The Geometry, Branes and Applications of Exceptional Field Theory. https://doi.org/10.1142/s0217751x20300148

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