Title

A systematic construction of curved phase space: A gravitational gauge theory with symplectic form

Document Type

Article

Journal/Book Title/Conference

Journal of Physics: Conference Series

Volume

360

Publication Date

2012

DOI

10.1088/1742-6596/360/1/012013

Abstract

General relativity can be constructed as a gauge theory using the quotient manifold strategy of [1, 2]. We consider a conformal gauging where the geometry is far richer than normal spacetime, including a symplectic form and the necessary emergence of Lorentzian signature. The resulting 2n-dim manifold constitutes a relativistic phase space, and general relativity is recovered when we demand that the momentum space is flat. However, the full geometry allows for curved phase space.

Comments

Published by Institute of Physics in Journal of Physics: Conference Series. Author post print available through link above. Publisher version requires subscription and is available at here.

Paper was presented at Loops 11 Conference in Madrid, 23 - 28 May 2011.



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