The particle number in Galilean holography

Details The particle number in Galilean holography The particle number in Galilean holography

2010-07-13

arxiv.org/abs/1007.2184v2

JHEP 1101:137,2011

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 1 rudimentary figure; v2: typo in eqn (3.4), added comments and refs

Scientific paper

10.1007/JHEP01(2011)137

Recently, gravity duals for certain Galilean-invariant conformal field theories have been constructed. In this paper, we point out that the spectrum of the particle number operator in the examples found so far is not a necessary consequence of the existence of a gravity dual. We record some progress towards more realistic spectra. In particular, we construct bulk systems with asymptotic Schrodinger symmetry and only one extra dimension. In examples, we find solutions which describe these Schrodinger-symmetric systems at finite density. A lift to M-theory is used to resolve a curvature singularity. As a happy byproduct of this analysis, we realize a state which could be called a holographic Mott insulator.

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