Double Field Theory: A Pedagogical Review

May 8, 2013
66 pages
Published in:
  • Class.Quant.Grav. 30 (2013) 163001
  • Published: Jul 18, 2013
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Abstract: (IOP)
Double field theory (DFT) is a proposal to incorporate T-duality, a distinctive symmetry of string theory, as a symmetry of a field theory defined on a double configuration space. The aim of this review is to provide a pedagogical presentation of DFT and its applications. We first introduce some basic ideas on T-duality and supergravity in order to proceed to the construction of generalized diffeomorphisms and an invariant action on the double space. Steps towards the construction of a geometry on the double space are discussed. We then address generalized Scherk–Schwarz compactifications of DFT and their connection to gauged supergravity and flux compactifications. We also discuss U-duality extensions and present a brief parcours on worldsheet approaches to DFT. Finally, we provide a summary of other developments and applications that are not discussed in detail in the review.
Note:
  • 121 pages, invited review for Class. Quantum Grav; v2: Updated references
  • 11.25.−w
  • 11.10.Kk
  • compactification: flux
  • double field theory
  • supergravity
  • T-duality
  • diffeomorphism
  • string model
  • U-duality
  • geometry