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Generalised massive gravity one-loop partition function and AdS/(L)CFT

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Abstract

The graviton 1-loop partition function is calculated for Euclidean generalised massive gravity (GMG) using AdS heat kernel techniques. We find that the results fit perfectly into the AdS/(L)CFT picture. Conformal Chern-Simons gravity, a singular limit of GMG, leads to an additional contribution in the 1-loop determinant from the conformal ghost. We show that this contribution has a nice interpretation on the conformal field theory side in terms of a semi-classical null vector at level two descending from a primary with conformal weights (3/2, −1/2).

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Authors and Affiliations

  1. CMCC, Universidade Federal do ABC, Rua Santa Adélia, 166, Santo André, SP, Brazil

    Mario Bertin & Dmitri Vassilevich

  2. Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10/136, A-1040, Vienna, Austria

    Daniel Grumiller & Thomas Zojer

  3. Department of Theoretical Physics, St Petersburg State University, St. Petersburg, Russia

    Dmitri Vassilevich

Authors
  1. Mario Bertin
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  2. Daniel Grumiller
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  3. Dmitri Vassilevich
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  4. Thomas Zojer
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Correspondence to Daniel Grumiller.

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ArXiv ePrint: 1103.5468

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Bertin, M., Grumiller, D., Vassilevich, D. et al. Generalised massive gravity one-loop partition function and AdS/(L)CFT. J. High Energ. Phys. 2011, 111 (2011). https://doi.org/10.1007/JHEP06(2011)111

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