Anomalous but consistent gravity in two dimensions

Physics

Scientific paper

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Lorentz And Poincare Invariance

Scientific paper

Two-dimensional gravity coupled to chiral fermions possesses a Lorentz anomaly, but it can be made consistent by allowing the gauge degree of freedom to be physical at the quantum level. The theory has massless excitations or a ghost particle depending on the sign of a counterterm. The possibility of adding the Wess-Zumino term in order to cancel the anomaly is also discussed.

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