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Thermodynamics, gravitational anomalies and cones

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Abstract

By studying the Euclidean partition function on a cone, we argue that pure and mixed gravitational anomalies generate a “Casimir momentum” which manifests itself as parity violating coefficients in the hydrodynamic stress tensor and charge current. The coefficients generated by these anomalies enter at a lower order in the hydrodynamic gradient expansion than would be naively expected. In 1 + 1 dimensions, the gravitational anomaly affects coefficients at zeroth order in the gradient expansion. The mixed anomaly in 3 + 1 dimensions controls the value of coefficients at first order in the gradient expansion.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Victoria, Victoria, BC, V8W 3P6, Canada

    Kristan Jensen

  2. Junior Fellow, Harvard Society of Fellows, Harvard University, Cambridge, MA, 02138, U.S.A.

    R. Loganayagam

  3. Department of Physics, Technion, Haifa, 32000, Israel

    Amos Yarom

Authors
  1. Kristan Jensen
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  2. R. Loganayagam
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  3. Amos Yarom
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Correspondence to Kristan Jensen.

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ArXiv ePrint: 1207.5824

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Jensen, K., Loganayagam, R. & Yarom, A. Thermodynamics, gravitational anomalies and cones. J. High Energ. Phys. 2013, 88 (2013). https://doi.org/10.1007/JHEP02(2013)088

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