Double field theory: a pedagogical review

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 bas...

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Bibliographic Details
Published in:Classical and quantum gravity 2013-08, Vol.30 (16), p.163001-66
Main Authors: Aldazabal, Gerardo, Marqués, Diego, Núñez, Carmen
Format: Article
Language:English
Subjects:
Construction
Field theory
Flux
Invariants
Joints
Quantum gravity
Supergravity
Symmetry
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Summary: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/30/16/163001