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Extra gauge symmetries in BHT gravity

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Abstract

We study the canonical structure of the Bergshoeff-Hohm-Townsend massive gravity, linearized around a maximally symmetric background. At the critical point in the space of parameters, defined by Λ 0/m 2 = −1, we discover an extra gauge symmetry, which reflects the existence of the partially massless mode. The number of the Lagrangian degrees of freedom is found to be 1. We show that the canonical structure of the theory at the critical point is unstable under linearization.

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References

  1. E.A. Bergshoeff, O. Hohm and P.K. Townsend, Massive Gravity in Three Dimensions, Phys. Rev. Lett. 102 (2009) 201301 [arXiv:0901.1766] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  2. E.A. Bergshoeff, O. Hohm and P.K. Townsend, More on Massive 3D Gravity, Phys. Rev. D 79 (2009) 124042 [arXiv:0905.1259] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  3. M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field, Proc. Roy. Soc. Lond. A 173 (1939) 211 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  4. M. Nakasone and I. Oda, On Unitarity of Massive Gravity in Three Dimensions, Prog. Theor. Phys. 121 (2009) 1389 [arXiv:0902.3531] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  5. S. Deser, Ghost-free, finite, fourth order D = 3 (alas) gravity, Phys. Rev. Lett. 103 (2009) 101302 [arXiv:0904.4473] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. I. Oda, Renormalizability of Massive Gravity in Three Dimensions, JHEP 05 (2009) 064 [arXiv:0904.2833] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  7. Y. Liu and Y.-w. Sun, Note on New Massive Gravity in AdS 3, JHEP 04 (2009) 106 [arXiv:0903.0536] [SPIRES].

    Article  ADS  Google Scholar 

  8. Y. Liu and Y.-W. Sun, Consistent Boundary Conditions for New Massive Gravity in AdS 3, JHEP 05 (2009) 039 [arXiv:0903.2933] [SPIRES].

    Article  ADS  Google Scholar 

  9. G. Giribet, J. Oliva, D. Tempo and R. Troncoso, Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity, Phys. Rev. D 80 (2009) 124046 [arXiv:0909.2564] [SPIRES].

    ADS  Google Scholar 

  10. A. Sinha, On the new massive gravity and AdS/CFT, JHEP 06 (2010) 061 [arXiv:1003.0683] [SPIRES].

    Article  ADS  Google Scholar 

  11. P.A.M. Dirac, Lectures on quantum mechanics, Belfer Graduate School of Science, Yeshiva University, New York U.S.A. (1964).

    Google Scholar 

  12. M. Blagojevic and B. Cvetkovic, Hamiltonian analysis of BHT massive gravity, JHEP 01 (2011) 082 [arXiv:1010.2596] [SPIRES].

    Article  ADS  Google Scholar 

  13. M. Sadegh and A. Shirzad, Constraint structure of the three dimensional massive gravity, arXiv:1010.2887 [SPIRES].

  14. S. Deser and A. Waldron, Gauge invariances and phases of massive higher spins in (A)dS, Phys. Rev. Lett. 87 (2001) 031601 [hep-th/0102166] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  15. S. Deser and A. Waldron, Partial masslessness of higher spins in (A)dS, Nucl. Phys. B 607 (2001) 577 [hep-th/0103198] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. B. Tekin, Partially massless spin-2 fields in string generated models, hep-th/0306178 [SPIRES].

  17. I. Gullu, T.C. Sisman and B. Tekin, Canonical Structure of Higher Derivative Gravity in 3D, Phys. Rev. D 81 (2010) 104017 [arXiv:1002.3778] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  18. M. Blagojević, Gravitation and gauge symmetries, IoP Publishing, Bristol U.K. (2002).

    Book  MATH  Google Scholar 

  19. T. Ortín, Gravity and strings, Cambridge University Press, Cambridge U.K. (2004).

    Book  MATH  Google Scholar 

  20. H. Afshar, B. Cvetković, S. Ertl, D. Grumiller and N. Johansson, Chern-Simons gravity, partial masslessness and holography, in preparation.

  21. L. Castellani, Symmetries in constrained hamiltonian systems, Ann. Phys. 143 (1982) 357 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  22. H. Chen, J.M. Nester and H.-J. Yo, Acausal PGT modes and the nonlinear constraint effect, Acta Phys. Polon. B 29 (1998) 961.

    MathSciNet  ADS  Google Scholar 

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Correspondence to B. Cvetković.

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Blagojević, M., Cvetković, B. Extra gauge symmetries in BHT gravity. J. High Energ. Phys. 2011, 139 (2011). https://doi.org/10.1007/JHEP03(2011)139

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  • DOI: https://doi.org/10.1007/JHEP03(2011)139

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