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Dynamical Projective Curvature in Gravitation

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arxiv 1712.05394 v5 pith:GQ7J5FKW submitted 2017-12-14 hep-th gr-qcmath.DG

Samuel Brensinger , Vincent G.J. Rodgers This is my paper · ORCID
classification hep-thgr-qcmath.DG
keywords projectiveconnectionablecurvaturegravitationactionaffinearises
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By using a projective connection over the space of two-dimensional affine connections, we are able to show that the metric interaction of Polyakov 2D gravity with a coadjoint element arises naturally through the projective Ricci tensor. Through the curvature invariants of Thomas-Whitehead, we are able to define an action that could describe dynamics to the projective connection. We discuss implications of the projective connection in higher dimensions as related to gravitation.

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Cited by 2 Pith papers

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    Coadjoint orbits of the quantum corner symmetry group factorize into SL(2,R) and Heisenberg orbits, and their geometric quantization reproduces the known unitary representations, apart from the complementary series an...

  2. The Diffeomorphism Field

    math-ph 2019-07 unverdicted novelty 3.0 of 10

    This thesis reviews and refines constructions of dynamical theories for the diffeomorphism field by mimicking Yang-Mills theory from Kac-Moody algebras and investigates geometric alternatives.

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