Kaluza-Klein reduction of 4+1 Horava-Lifshitz gravity at the kinetic conformal point yields a 3+1 electromagnetic-gravitational theory whose low-energy limit is Einstein-Maxwell when β=1 and α=0.
Power-counting renormalizability of generalized Horava gravity
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abstract
In an earlier article [arXiv:0902.0590 [hep-th], Phys. Rev D80 (2009) 025011], I discussed the potential benefits of allowing Lorentz symmetry breaking in quantum field theories. In particular I discussed the perturbative power-counting finiteness of the normal-ordered :P(phi)^{z>=d}_{d+1}: scalar quantum field theories, and sketched the implications for Horava's model of quantum gravity. In the current rather brief addendum, I will tidy up some dangling issues and fill out some of the technical details of the argument indicating the power-counting renormalizability of a z>=d variant of Horava gravity in (d+1) dimensions.
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Pure electromagnetic-gravitational interaction in Ho\v{r}ava-Lifshitz theory at the kinetic conformal point
Kaluza-Klein reduction of 4+1 Horava-Lifshitz gravity at the kinetic conformal point yields a 3+1 electromagnetic-gravitational theory whose low-energy limit is Einstein-Maxwell when β=1 and α=0.