Linking shape dynamics and loop quantum gravity
arXiv:1407.2909 · doi:10.1103/PhysRevD.90.044070
Abstract
Shape dynamics is a reformulation of general relativity, locally equivalent to Einstein's theory, in which the refoliation invariance of the older theory is traded for local scale invariance. Shape dynamics is here derived in a formulation related to the Ashtekar variables by beginning with a modification of the Plebanski action. The constraints of shape dynamics and their algebra are reproduced in terms of these new variables.
12 pages, no figures, mistake fixed, other small changes
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