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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.
Forward citations
Cited by 4 Pith papers
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Kaluza-Klein Perturbation Theory from Exceptional Field Theory
E6(6) ExFT yields gauge-invariant first-order KK fluctuation equations and a homotopy-transfer Higgs mechanism, applied partly to Kerr-Newman AdS5 near-horizon stability.
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Duality-covariant particles and exotic branes
Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.
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How to uplift non-maximal gauged supergravities
An ExFT-based algorithm reduces the uplift problem to a PDE on the base of the internal manifold and classifies the type IIB uplifts of pure SO(4)-gauged N=4 supergravity by two harmonic functions on a Riemann surface.
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Gauged Extended Field Theory and Generalised Cartan Geometry
A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.
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