Exceptional geometry and tensor fields

Abstract

We present a tensor calculus for exceptional generalised geometry. Expressions for connections, torsion and curvature are given a unified formulation for different exceptional groups E_n(n). We then consider "tensor gauge fields" coupled to the exceptional generalised gravity. Many of the properties of forms on manifolds are carried over to these fields.

22 pp., plain tex. v3: improved references

References in corpus (5)

• A Geometry for Non-Geometric String Backgrounds
• Generalised Geometry for M-Theory
• Dualisation of Dualities, I
• SO(5,5) duality in M-theory and generalized geometry
• Non-gravitational exceptional supermultiplets

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• Duality Symmetric String and M-Theory
• Effective actions of non-geometric fivebranes
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Pure spinor superfields -- an overview
• Generalised diffeomorphisms for E${}_9$
• M5 algebra and SO(5,5) duality
• Type IIB flux vacua from G-theory II
• Gauge Transformation of Double Field Theory for Open String
• Strings, Branes and the Self-dual Solutions of Exceptional Field Theory
• C-spaces, generalized geometry and double field theory
• F-theory amplitudes