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High spin topologically massive gravity

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Abstract

We propose an action to describe high spin topologically massive gravity with a negative cosmological constant. With the frame-like fields and spin connections being combined into two gauge fields, the action includes two gauge field Chern-Simons actions with different levels, and also a linear term proportional to the difference of the gauge field strengths. Such linear term play the role of imposing the torsion free conditions for high spin fields. We discuss the gauge symmetry of this action and study the fluctuations around the AdS3 vacuum. We show how to relate the the fluctuations of the gauge field to the Frondal fields, using the gauge symmetry. For the gauge group SL(n, R) × SL(n, R), we find that the fluctuations of all high spin fields up to spin n satisfy third order differential equations, and hence there generically exist massive traceless and trace mode for every spin.

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Authors and Affiliations

  1. Department of Physics, and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, 100871, China

    Bin Chen & Jiang Long

  2. Center for High Energy Physics, Peking University, Beijing, 100871, China

    Bin Chen

  3. Kavli Institute for Theoretical Physics China, CAS, Beijing, 100190, China

    Bin Chen

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  1. Bin Chen
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  2. Jiang Long
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Correspondence to Bin Chen.

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ArXiv ePrint: 1110.5113

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Chen, B., Long, J. High spin topologically massive gravity. J. High Energ. Phys. 2011, 114 (2011). https://doi.org/10.1007/JHEP12(2011)114

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  • DOI: https://doi.org/10.1007/JHEP12(2011)114

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