Abstract
Double Field Theory (DFT) is a framework in which we can explicitly build T-duality covariant field theories. The aim of this work is to review DFT in a geometrical perspective, by focusing on the structures and ideas that arise from the theory and by highlighting its main differences with usual Riemannian geome-try. We will start with a brief introductions to the basic concepts of Riemannian geometry, supergravity and T-duality and we will follow with a review of doubledsigma-models. Then we will introduce the geometry of doubled manifold, with generalised vectors and tensors, and we will show how T-duality is geometrically realised. We will illustrate how this new geometry can be reduced to Generalised Geometry on geometric backgrounds and to its locally realisation on non-geometric ones. We will conclude with a brief exposition about the Heterotic extension of Double Field Theory
Original language | English |
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Award date | 1 Oct 2016 |
Publication status | Published - 27 Sept 2016 |