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Supersymmetric backgrounds and black holes in \( \mathcal{N}=(1,1)\) cosmological new massive supergravity. (English) Zbl 1388.83713

Summary: Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the \( \mathcal{N}=(1,1)\) Cosmological New Massive Gravity model. The solutions with a null Killing vector are the same pp-wave solutions that one finds in the \( \mathcal{N}=1 \) model but we find new solutions with a time-like Killing vector that are absent in the \( \mathcal{N}=1 \) case. An example of such a solution is a Lifshitz spacetime. We also consider the supersymmetry properties of the so-called rotating hairy BTZ black holes and logarithmic black holes in an \(\mathrm{AdS}_3\) background. Furthermore, we show that under certain assumptions there is no supersymmetric Lifshitz black hole solution.

MSC:

83E50 Supergravity
83C57 Black holes
83F05 Relativistic cosmology
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[1] S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace Or One Thousand and One Lessons in Supersymmetry, Front. Phys.58 (1983) 1 [hep-th/0108200] [INSPIRE]. · Zbl 0986.58001
[2] W. Siegel, Unextended Superfields in Extended Supersymmetry, Nucl. Phys.B 156 (1979) 135 [INSPIRE]. · doi:10.1016/0550-3213(79)90498-X
[3] M. Brown and S.J. Gates Jr., Superspace Bianchi Identities and the Supercovariant Derivative, Annals Phys.122 (1979) 443 [INSPIRE]. · doi:10.1016/0003-4916(79)90210-0
[4] T. Uematsu, Structure of N = 1 Conformal and Poincaré Supergravity in (1 + 1)-dimensions and (2 + 1)-dimensions, Z. Phys.C 29 (1985) 143 [INSPIRE].
[5] T. Uematsu, Constraints and Actions in Two-dimensional and Three-dimensional N = 1 Conformal Supergravity, Z. Phys.C 32 (1986) 33 [INSPIRE].
[6] S. Deser, R. Jackiw and S. Templeton, Topologically Massive Gauge Theories, Annals Phys.140 (1982) 372 [Annals Phys.281 (2000) 409] [Erratum ibid.185 (1988) 406] [INSPIRE].
[7] S. Deser and J.H. Kay, Topologically massive supergravity, Phys. Lett.B 120 (1983) 97 [INSPIRE]. · doi:10.1016/0370-2693(83)90631-7
[8] S. Deser, Cosmological topological supergravity, in Quantum Theory of Gravity, S.M. Christensen ed., Adam Hilger, London U.K. (1984).
[9] G.W. Gibbons, C.N. Pope and E. Sezgin, The General Supersymmetric Solution of Topologically Massive Supergravity, Class. Quant. Grav.25 (2008) 205005 [arXiv:0807.2613] [INSPIRE]. · Zbl 1152.83025 · doi:10.1088/0264-9381/25/20/205005
[10] E.A. Bergshoeff, O. Hohm and P.K. Townsend, Massive Gravity in Three Dimensions, Phys. Rev. Lett.102 (2009) 201301 [arXiv:0901.1766] [INSPIRE]. · doi:10.1103/PhysRevLett.102.201301
[11] R. Andringa, E.A. Bergshoeff, M. de Roo, O. Hohm, E. Sezgin and P.K. Townsend, Massive 3D Supergravity, Class. Quant. Grav.27 (2010) 025010 [arXiv:0907.4658] [INSPIRE]. · Zbl 1184.83042 · doi:10.1088/0264-9381/27/2/025010
[12] E.A. Bergshoeff, O. Hohm, J. Rosseel, E. Sezgin and P.K. Townsend, More on Massive 3D Supergravity, Class. Quant. Grav.28 (2011) 015002 [arXiv:1005.3952] [INSPIRE]. · Zbl 1207.83064 · doi:10.1088/0264-9381/28/1/015002
[13] G. Alkaç, L. Basanisi, E.A. Bergshoeff, M. Ozkan and E. Sezgin, \[MassiveN=2 \mathcal{N}=2\] supergravity in three dimensions, JHEP02 (2015) 125 [arXiv:1412.3118] [INSPIRE]. · Zbl 1388.83714 · doi:10.1007/JHEP02(2015)125
[14] S.M. Kuzenko, J. Novak and G. Tartaglino-Mazzucchelli, Higher derivative couplings and massive supergravity in three dimensions, JHEP09 (2015) 081 [arXiv:1506.09063] [INSPIRE]. · Zbl 1388.83849 · doi:10.1007/JHEP09(2015)081
[15] N.S. Deger, A. Kaya, H. Samtleben and E. Sezgin, Supersymmetric Warped AdS in Extended Topologically Massive Supergravity, Nucl. Phys.B 884 (2014) 106 [arXiv:1311.4583] [INSPIRE]. · Zbl 1323.81078 · doi:10.1016/j.nuclphysb.2014.04.011
[16] S.M. Kuzenko, U. Lindström, M. Roček, I. Sachs and G. Tartaglino-Mazzucchelli, Three-\[dimensionalN=2 \mathcal{N}=2\] supergravity theories: From superspace to components, Phys. Rev.D 89 (2014) 085028 [arXiv:1312.4267] [INSPIRE].
[17] 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] [INSPIRE].
[18] M. Bañados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time, Phys. Rev. Lett.69 (1992) 1849 [hep-th/9204099] [INSPIRE]. · Zbl 0968.83514 · doi:10.1103/PhysRevLett.69.1849
[19] G. Clement, Black holes with a null Killing vector in new massive gravity in three dimensions, Class. Quant. Grav.26 (2009) 165002 [arXiv:0905.0553] [INSPIRE]. · Zbl 1173.83013 · doi:10.1088/0264-9381/26/16/165002
[20] H. Lü and Z.-L. Wang, Supersymmetric Asymptotic AdS and Lifshitz Solutions in Einstein-Weyl and Conformal Supergravities, JHEP08 (2012) 012 [arXiv:1205.2092] [INSPIRE].
[21] D. Anninos, W. Li, M. Padi, W. Song and A. Strominger, Warped AdS3Black Holes, JHEP03 (2009) 130 [arXiv:0807.3040] [INSPIRE]. · doi:10.1088/1126-6708/2009/03/130
[22] E. Ayon-Beato, G. Giribet and M. Hassaine, Bending AdS Waves with New Massive Gravity, JHEP05 (2009) 029 [arXiv:0904.0668] [INSPIRE]. · doi:10.1088/1126-6708/2009/05/029
[23] E.A. Bergshoeff, O. Hohm and P.K. Townsend, More on Massive 3D Gravity, Phys. Rev.D 79 (2009) 124042 [arXiv:0905.1259] [INSPIRE].
[24] G. Clement, Warped AdS3black holes in new massive gravity, Class. Quant. Grav.26 (2009) 105015 [arXiv:0902.4634] [INSPIRE]. · Zbl 1166.83009 · doi:10.1088/0264-9381/26/10/105015
[25] O. Sarioglu, Stationary Lifshitz black holes of R2-corrected gravity theory, Phys. Rev.D 84 (2011) 127501 [arXiv:1109.4721] [INSPIRE].
[26] P.S. Howe, J.M. Izquierdo, G. Papadopoulos and P.K. Townsend, New supergravities with central charges and Killing spinors in (2 + 1)-dimensions, Nucl. Phys.B 467 (1996) 183 [hep-th/9505032] [INSPIRE]. · Zbl 1003.83518 · doi:10.1016/0550-3213(96)00091-0
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