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Comments on double field theory and diffeomorphisms

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Abstract

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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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, Cambridge, CB3 0WA, England

    Jeong-Hyuck Park

  2. Department of Physics, Sogang University, Mapo-gu, Seoul, 121-742, Korea

    Jeong-Hyuck Park

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ArXiv ePrint: 1304.5946

On sabbatical leave of absence for calendar year 2013. (Jeong-Hyuck Park)

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Park, JH. Comments on double field theory and diffeomorphisms. J. High Energ. Phys. 2013, 98 (2013). https://doi.org/10.1007/JHEP06(2013)098

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