Doubled Geometry of Double Field Theory

Research output: ThesisMaster's Thesis

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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 languageEnglish
Awarding Institution
  • Imperial College London
Supervisors/Advisors
  • Hull, Christopher M., Supervisor, External person
Award date1 Oct 2016
Publication statusPublished - 27 Sept 2016

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