The particle number in Galilean holography
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Author(s)
Balasubramanian, Koushik
McGreevy, John
Date Issued
January 2011
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Balasubramanian, Koushik, and John McGreevy. “The particle number in Galilean holography.” Journal of High Energy Physics 2011.1 (2011): 137.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP01(2011)137
