TY - JOUR

T1 - Born reciprocity in string theory and the nature of spacetime

AU - Freidel, Laurent

AU - Leigh, Robert G.

AU - Minic, Djordje

N1 - Funding Information:
We thank J. Polchinski, S. Ramgoolam, A. Shapere and A. Tseytlin for useful comments on various drafts of this Letter. R.G.L. and D.M. thank Perimeter Institute for generous hospitality. L.F. is supported by NSERC , and R.G.L and D.M. by the U.S. Department of Energy .

PY - 2014/3/7

Y1 - 2014/3/7

N2 - 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.

AB - 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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U2 - 10.1016/j.physletb.2014.01.067

DO - 10.1016/j.physletb.2014.01.067

M3 - Article

AN - SCOPUS:84894039182

SN - 0370-2693

VL - 730

SP - 302

EP - 306

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -