Comments on double field theory and diffeomorphisms
By Jeong-Hyuck Park. 2013
146 citations recorded by the source corpus.
A bstractAs 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.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/92c2d9aae70ae7ba57543cb6568c4eb42c10b1ca
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In Applied Mathematics
In Astronomy and Astrophysics
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “The recent work [52, 53] however indicates that the coordinate transformations are more general, and the nature of this doubled space is thus still under investigation.”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “The action on the coordinates is, however, different from the naive O(d, d) action but nevertheless reproduces the required field (1)Further comments on the diffeomorphisms of DFT can be found in [24].”