Comments on double field theory and diffeomorphisms

A bstract As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a ‘gauge orbit’ in the coordinate space. The diffeomorphism symmetry then...

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Published inThe journal of high energy physics Vol. 2013; no. 6; pp. 1 - 28
Main Author Park, Jeong-Hyuck
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.06.2013
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Derivatives
Elementary Particles
Field theory
Gages
Gauges
High energy physics
Mathematical analysis
Orbits
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Transformations (mathematics)
String Duality
Differential and Algebraic Geometry
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Summary:A bstract As the theory is subject to a section condition, coordinates in double field theory do not represent physical points in an injective manner. We argue that a physical point should be rather one-to-one identified with a ‘gauge orbit’ in the coordinate space. The diffeomorphism symmetry then implies an invariance under arbitrary reparametrizations of the gauge orbits. Within this generalized sense of diffeomorphism, we show that a recently proposed tensorial transformation rule for finite coordinate transformations is actually (i) consistent with the standard exponential map, and further (ii) compatible with the full covariance of the ‘semi-covariant’ derivatives and curvatures after projectors are properly imposed.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2013)098