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arXiv · 0903.5184

Comments on Galilean conformal field theories and their geometric realization

Dario Martelli·Yuji Tachikawa
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Abstract

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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Dario Martelli, Yuji Tachikawa. 2009-03-30. Comments on Galilean conformal field theories and their geometric realization. https://doi.org/10.1007/jhep05(2010)091

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