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Comments on Galilean conformal field theories and their geometric realization

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Abstract

We discuss non-relativistic conformal algebras generalizing the Schrödinger algebra. One instance of these algebras is a conformal, acceleration-extended, Galilei algebra, which arises also as a contraction of the relativistic conformal algebra. In two dimensions, this admits an “exotic” central extension, whereby boosts do not commute. We study general properties of non-relativistic conformal field theories with such symmetry. We realize geometrically the symmetry in terms of a metric invariant under the exotic conformal Galilei algebra, although its signature is neither Lorentzian nor Euclidean. We comment on holographic-type calculations in this background.

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Authors and Affiliations

  1. Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, U.K.

    Dario Martelli

  2. School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, New Jersey, U.S.A.

    Yuji Tachikawa

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  1. Dario Martelli
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  2. Yuji Tachikawa
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Correspondence to Yuji Tachikawa.

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ArXiv ePrint: 0903.5184

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Martelli, D., Tachikawa, Y. Comments on Galilean conformal field theories and their geometric realization. J. High Energ. Phys. 2010, 91 (2010). https://doi.org/10.1007/JHEP05(2010)091

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