Fake gaps in AdS_3/CFT_2

Abstract

We discuss properties of interpolating geometries in three dimensional gravity in the presence of a chiral anomaly. This anomaly, which introduces an unbalance between left and right central charges, is protected under RG flows. For this simple reason it is impossible to gap a system with such an anomaly. Our goal is to discuss how holography captures this basic and robust feature. We demonstrate the absence of a mass gap by analysing the linearized spectrum and holographic entanglement entropy of these backgrounds in the context of AdS${}_3$/CFT${}_2$.

22 pages + Appendices, v2 bibliography fixed + references added

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Cited by in corpus (4)

• Trans-IR Flows to Black Hole Singularities
• Anomalies of the Entanglement Entropy in Chiral Theories
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Entanglement, anomalies and Mathisson's helices