Abstract
We show that certain threedimensional HoravaLifshitz gravity theories can be written as ChernSimons gauge theories on various nonrelativistic algebras. The algebras are specific extensions of the Bargmann, NewtonHooke and Schroedinger algebra each of which has the Galilean algebra as a subalgebra. To show this we employ the fact that HoravaLifshitz gravity corresponds to dynamical NewtonCartan geometry. In particular, the extended Bargmann (NewtonHooke) ChernSimons theory corresponds to projectable HoravaLifshitz gravity with a local U(1) gauge symmetry without (with) a cosmological constant. Moreover we identify an extended Schroedinger algebra containing 3 extra generators that are central with respect to the subalgebra of Galilean boosts, momenta and rotations, for which the ChernSimons theory gives rise to a novel version of nonprojectable conformal HoravaLifshitz gravity that we refer to as Schroedinger gravity. This theory has a z=2 Lifshitz geometry as a vacuum solution and thus provides a new framework to study Lifshitz holography.
Original language  English 

Article number  065027 
Journal  Physical Review D, Particles and fields 
Volume  94 
DOIs  
Publication status  Published  22 Sep 2016 
Externally published  Yes 
Keywords
 hepth
 grqc
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Profiles

Jelle Hartong
 School of Mathematics  Royal Society University Research Fellow & Lecturer in
Person: Academic: Research Active