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Beta functions of topologically massive supergravity

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  • Published: 18 March 2014
  • volume 2014, Article number: 83 (2014)
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Beta functions of topologically massive supergravity
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  • R. Percacci1,
  • M. J. Perry3,
  • C. N. Pope2,3 &
  • …
  • E. Sezgin2 

  • 417 Accesses

  • 7 Citations

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  • Cite this article

Abstract

We compute the one-loop beta functions of the cosmological constant, Newton’s constant and the topological mass in topologically massive supergravity in three dimensions. We use a variant of the proper time method supplemented by a simple choice of cutoff function. We also employ two different analytic continuations of AdS 3 and consider harmonic expansions on the 3-sphere as well as a 3-hyperboloid, and then show that they give the same results for the beta functions. We find that the dimensionless coefficient of the Chern-Simons term, ν, has vanishing beta function. The flow of the cosmological constant and Newton’s constant depends on ν; we study analytically the structure of the flow and its fixed points in the limits of small and large ν.

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Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. SISSA, and INFN, Sezione di Trieste, via Bonomea 265, Trieste, Italy

    R. Percacci

  2. George and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, U.S.A

    C. N. Pope & E. Sezgin

  3. DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge, CB3 0WA, U.K

    M. J. Perry & C. N. Pope

Authors
  1. R. Percacci
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Correspondence to E. Sezgin.

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ArXiv ePrint: 1302.0868

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Percacci, R., Perry, M.J., Pope, C.N. et al. Beta functions of topologically massive supergravity. J. High Energ. Phys. 2014, 83 (2014). https://doi.org/10.1007/JHEP03(2014)083

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  • Received: 09 October 2013

  • Revised: 20 January 2014

  • Accepted: 15 February 2014

  • Published: 18 March 2014

  • DOI: https://doi.org/10.1007/JHEP03(2014)083

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Keywords

  • Field Theories in Lower Dimensions
  • Supergravity Models
  • Renormalization Group
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