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Born Geometry

  1. Jul 29, 2013 #1


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    Laurent Freidel is working on string theory again. His earlier paper, with Krasnov and Livine, which had a remark on the subject was Holomorphic Factorization for a Quantum Tetrahedron

    Born Reciprocity in String Theory and the Nature of Spacetime
    Laurent Freidel, Robert G. Leigh, Djordje Minic
    (Submitted on 26 Jul 2013)
    After many years, the deep nature of spacetime in string theory remains an enigma. In this letter we incorporate the concept of Born reciprocity in order to provide a new point of view on string theory in which spacetime is a derived dynamical concept. This viewpoint may be thought of as a dynamical chiral phase space formulation of string theory, in which Born reciprocity is implemented as a choice of a Lagrangian submanifold of the phase space, and amounts to a generalization of T-duality. In this approach the fundamental symmetry of string theory contains phase space diffeomorphism invariance and the underlying string geometry should be understood in terms of dynamical bi-Lagrangian manifolds and an apparently new geometric structure, somewhat reminiscent of para-quaternionic geometry, which we call Born geometry.
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  3. Jul 29, 2013 #2


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    Somewhere along the paper I had the impression he is trying to fix the LQG' anomaly.
  4. Jul 31, 2013 #3


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    Yeah, just do string theory and there's no anomaly, good fix!

    I guess the motivation is the curved momentum space and relative locality ideas which did come from LQG because one could get non-commutative field theory from GFT like in http://arxiv.org/abs/hep-th/0512113
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