Geodesic
BTZ black hole as a solution of a higher-spin gauge theory in
Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 2, pp. 158-185
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We show that the BTZ black hole is an exact solution of a higher-spin gauge theory in three-dimensional space–time. We find solutions for free massless fields in the black-hole metric using the star algebra formalism underlying the higher-spin theory. We find that some of the higher-spin symmetries remain unbroken for special values of the BTZ parameters.
Keywords: BTZ black hole, higher spins, star algebra. 
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M. A. Vasiliev; V. E. Didenko; A. S. Matveev. BTZ black hole as a solution of a higher-spin gauge theory in. Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 2, pp. 158-185. http://geodesic.mathdoc.fr/item/TMF_2007_153_2_a1/

[1] A. Staruszkiewicz, Acta Phys. Polon., 24 (1963), 735 | MR

[2] H. Leutwyler, Nuovo Cimento A, 42 (1966), 159 | DOI

[3] S. Deser, R. Jackiw, G. 't Hooft, Ann. Physics, 152 (1984), 220 | DOI | MR

[4] S. Deser, R. Jackiw, Ann. Physics, 153 (1984), 405 ; Commun. Math. Phys., 118 (1988), 495 | DOI | MR | DOI | MR | Zbl

[5] G. 't Hooft, Commun. Math. Phys., 117 (1988), 685 | DOI | MR | Zbl

[6] A. Achúcarro, P. K. Townsend, Phys. Lett. B, 180 (1986), 89 | DOI | MR

[7] E. Witten, Nucl. Phys. B, 311 (1988), 46 ; 323 (1989), 113 ; Commun. Math. Phys., 137 (1991), 29 | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl

[8] S. Carlip, J. Korean Phys. Soc., 28 (1995), S447; gr-qc/9503024

[9] M. Banados, C. Teitelboim, J. Zanelli, Phys. Rev. Lett., 69 (1992), 1849 ; hep-th/9204099 | DOI | MR | Zbl

[10] D. Ida, Phys. Rev. Lett., 85 (2000), 3758 ; gr-qc/0005129 | DOI | MR

[11] M. Banados, M.Henneaux, C. Teitelboim, J. Zanelli, Phys. Rev. D (3), 48 (1993), 1506 ; gr-qc/9302012 | DOI | MR

[12] M. A. Vasiliev, Mod. Phys. Lett. A, 7 (1992), 3689 | DOI | MR | Zbl

[13] S. F. Prokushkin, M. A. Vasiliev, Nucl. Phys. B, 545 (1999), 385 ; hep-th/9806236 | DOI | MR | Zbl

[14] M. A. Vasiliev, “Higher spin gauge theories: star-product and AdS space”, Many Faces of the Superworld, ed. M. Shifman, World Scientific, Singapore, 2000, 533 ; hep-th/9910096 | DOI | MR | Zbl

[15] E. Sezgin, P. Sundell, Nucl. Phys. B, 762 (2007), 1 ; hep-th/0508158 | DOI | MR | Zbl

[16] C. Fronsdal, “Massless particles, orthosymplectic symmetry and another type of Kaluza–Klein theory”, Essays on Supersymmetry, Math. Phys. Stud., 8, ed. C. Fronsdal, Reidel, Dordrecht, 1986, 163 | MR

[17] I. Bandos, J. Lukierski, D. Sorokin, Phys. Rev. D (3), 61 (2000), 045002 ; hep-th/9904109 | DOI | MR | MR

[18] M. A. Vasiliev, Phys. Rev. D (3), 66 (2002), 066006 ; hep-th/0106149 | DOI | MR

[19] I. Bandos, J. Lukierski, C. Preitschopf, D. Sorokin, Phys. Rev. D (3), 61 (2000), 065009 ; hep-th/9907113 | DOI | MR

[20] V. E. Didenko, M. A. Vasiliev, J. Math. Phys., 45 (2004), 197 ; hep-th/0301054 | DOI | MR | Zbl

[21] M. Plyushchay, D. Sorokin, M. Tsulaia, JHEP, 04 (2003), 013 ; hep-th/0301067 | DOI | MR

[22] M. A. Vasilev, O. V. Sheinkman, TMF, 128:3 (2001), 378 ; hep-th/0103208 | DOI | MR | Zbl

[23] K. Ghoroku, A. L. Larsen, Phys. Lett. B, 328 (1994), 28 ; hep-th/9403008 | DOI

[24] I. Ichinose, Y. Satoh, Nucl. Phys. B, 447 (1995), 340 ; hep-th/9412144 | DOI | MR | Zbl

[25] S. Das, A. Dasgupta, JHEP, 10 (1999), 025 ; hep-th/9907116 | DOI | MR | Zbl

[26] D. Birmingham, I. Sachs, S. N. Solodukhin, Phys. Rev. Lett., 88 (2002), 151301 ; hep-th/0112055 | DOI | MR

[27] I. Bars, M. Günaydin, Commun. Math. Phys., 91 (1983), 31 | DOI | MR | Zbl

[28] M. A. Vasiliev, Class. Quantum Grav., 8 (1991), 1387 | DOI | MR

[29] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR | MR | Zbl

[30] J. Gamboa, F. Méndez, Class. Quantum Grav., 18 (2001), 225 ; hep-th/0006020 | DOI | MR | Zbl

[31] S. Lepe, F. Méndez, J. Saavedra, L. Vergara, Class. Quantum Grav., 20 (2003), 2417 ; hep-th/0302035 | DOI | MR | Zbl

[32] J. Troost, JHEP, 09 (2002), 041 ; hep-th/0206118 | DOI | MR

[33] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1991 | MR | MR | Zbl

[34] O. Coussaert, M. Henneaux, Phys. Rev. Lett., 72 (1994), 183 ; hep-th/9310194 | DOI | MR | Zbl