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arxiv: 1104.5488 · v1 · pith:BLG7Q2IDnew · submitted 2011-04-28 · ✦ hep-th · gr-qc· hep-ph· math.DG

Riemann-Finsler geometry and Lorentz-violating kinematics

classification ✦ hep-th gr-qchep-phmath.DG
keywords riemann-finslergeometrystructurecoefficientcomplementaryconstructedeffectiveexample
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Effective field theories with explicit Lorentz violation are intimately linked to Riemann-Finsler geometry. The quadratic single-fermion restriction of the Standard-Model Extension provides a rich source of pseudo-Riemann-Finsler spacetimes and Riemann-Finsler spaces. An example is presented that is constructed from a 1-form coefficient and has Finsler structure complementary to the Randers structure.

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