Comments on Galilean conformal field theories and their geometric realization

Details Comments on Galilean conformal field theories and their geometric realization Comments on Galilean conformal field theories and their geometric realization

2009-03-30

arxiv.org/abs/0903.5184v2

JHEP 1005:091,2010

Physics

High Energy Physics

High Energy Physics - Theory

37 pages; v2: references added, typos fixed

Scientific paper

10.1007/JHEP05(2010)091

We discuss non-relativistic conformal algebras generalizing the Schr\"odinger 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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