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The particle number in Galilean holography

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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 Schrödinger symmetry and only one extra dimension. In examples, we find solutions which describe these Schrödinger-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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Authors and Affiliations

  1. Department of Physics, MIT, 77 Mass Ave, Cambridge, Massachusetts, 02139, U.S.A.

    Koushik Balasubramanian & John McGreevy

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  1. Koushik Balasubramanian
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  2. John McGreevy
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Correspondence to Koushik Balasubramanian.

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ArXiv ePrint: 1007.2184

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Balasubramanian, K., McGreevy, J. The particle number in Galilean holography. J. High Energ. Phys. 2011, 137 (2011). https://doi.org/10.1007/JHEP01(2011)137

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