×

zbMATH — the first resource for mathematics

Quasi-normal modes of \(AdS _{5}\) black hole at \(\mathcal{N}=2\) supergravity. (English) Zbl 1211.83032
Summary: We consider the \(AdS_{5}\) black hole in the \(\mathcal{N}=2\) supergravity background. By using the \(AdS\)/CFT correspondence, we discuss about the quasi-normal modes of the scalar field in the black hole, which is dual to the scalar glueballs spectrum on the boundary. We obtain phase transition conditions from stable to unstable theory, which is interpreted as confinement and deconfinement states in the QCD. We obtain the specific heat in terms of the temperature and the charge of the black hole, we find the temperature where the black hole is stable. Also, we rewrite the equation of motion in the Schrödinger form and discuss the effective potential.

MSC:
83E50 Supergravity
83C57 Black holes
83C25 Approximation procedures, weak fields in general relativity and gravitational theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998) · Zbl 0914.53047
[2] Witten, E.: Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2, 253 (1998) · Zbl 0914.53048
[3] Schwart, J.H.: Introduction to M theory and AdS/CFT duality. In: Lecture Notes in Physics, vol. 525, pp. 1–21. Springer, Berlin (1999)
[4] Petersen, J.L.: Introduction to the Maldacena conjecture on AdS/CFT. Int. J. Mod. Phys. A 14, 3597 (1999) · Zbl 1031.81627
[5] Nastase, H.: Introduction to AdS-CFT. arXiv:0712.0689v2 [hep-th] (2007)
[6] Klebanov, I.R.: TASI lectures: introduction to the AdS/CFT correspondence. arXiv:hep-th/0009139 (2009) · Zbl 1131.81315
[7] Gaiotto, D., Maldacena, J.: The gravity duals of $\(\backslash\)mathcal{N}=2$ superconformal field theories. arXiv:0904.4466 [hep-th] · Zbl 1397.83038
[8] Gaiotto, D.: N=2 dualities. arXiv:0904.2715 [hep-th] (2009) · Zbl 1178.81180
[9] Behrndt, K., Chamseddine, A.H., Sabra, W.A.: BPS black holes in ${\(\backslash\)mathcal{N}}=2$ five dimensional AdS supergravity. Phys. Lett. B 442, 97 (1998) · Zbl 1002.83517
[10] Behrndt, K., Cvetic, M., Sabra, W.A.: Non-extreme black holes of five dimensional ${\(\backslash\)mathcal{N}}=2$ AdS supergravity. Nucl. Phys. B 553, 317 (1999) · Zbl 0949.83072
[11] Sadeghi, J., Pourhassan, B.: Drag force of moving quark at the ${\(\backslash\)mathcal{N}}=2$ supergravity. J. High Energy Phys. 12, 026 (2008). arXiv:0809.2668 [hep-th] · Zbl 1329.83198
[12] Sadeghi, J., Setare, M.R., Pourhassan, B., Hashmatian, S.: Drag force of moving quark in STU background. Eur. Phys. J. C 61, 527 (2009). arXiv:0901.0217 [hep-th]
[13] Sadeghi, J., Setare, M.R., Pourhassan, B.: Drag force with different charges in STU background and AdS/CFT. J. Phys., G, Nucl. Part. Phys. 36, 115005 (2009). arXiv:0905.1466 [hep-th]
[14] Hoyos-Badajoz, C.: Drag and jet quenching of heavy quarks in a strongly coupled N=2plasma. J. High Energy Phys. 0909, 068 (2009). arXiv:0907.5036v3 [hep-th]
[15] Freedman, D.Z., Gubser, S.S., Pilch, K., Warner, N.P.: Renormalization group flows from holography supersymmetry and a c-theorem. Adv. Theor. Math. Phys. 3, 363 (1999). arXiv:hep-th/9904017 · Zbl 0976.83067
[16] Pilch, K., Warner, N.P.: N=2 supersymmetric RG flows and the IIB dilaton. Nucl. Phys. B 594, 209 (2001). arXiv:hep-th/0004063 · Zbl 0971.83513
[17] Buchel, A., Peet, A.W., Polchinski, J.: Gauge dual and noncommutative extension of an N=2 supergravity solution. Phys. Rev. D 63, 044009 (2001). arXiv:hep-th/0008076
[18] Evans, N.J., Johnson, C.V., Petrini, M.: The enhancon and N=2 gauge theory/gravity RG flows. J. High Energy Phys. 0010, 022 (2000). arXiv:hep-th/0008081 · Zbl 0965.81050
[19] Gaiotto, D.: Surface operators in N=2 4d gauge theories. [ arXiv:0911.1316 [hep-th]] (2009) · Zbl 1397.81363
[20] Gaiotto, D., Maldacena, J.: The gravity duals of N=2 superconformal field theories. [ arXiv:0904.4466 [hep-th]] (2009) · Zbl 1397.83038
[21] Gaiotto, D.: N=2 dualities. [ arXiv:0904.2715 [hep-th]] (2009) · Zbl 1178.81180
[22] Behrndt, K., Chamseddine, A.H., Sabra, W.A.: BPS black holes in N=2 five dimensional AdS supergravity. Phys. Lett. B 442, 97 (1998) · Zbl 1002.83517
[23] Behrndt, K., Cvetic, M., Sabra, W.A.: Non-extreme black holes of five-dimensional N=2 AdS supergravity. Nucl. Phys. B 553, 317 (1999) · Zbl 0949.83072
[24] Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Gravity 26, 163001 (2009). arXiv:0905.2975 [gr-qc] · Zbl 1173.83001
[25] Horowitz, G.T., Hubeny, V.E.: Phys. Rev. D 62, 024027 (2000). [ arXiv:hep-th/9909056 ]
[26] Berti, E., Cardoso, V., Pani, P.: Phys. Rev. D 79, 101501 (2009). arXiv:0903.5311 [gr-qc]
[27] Kokkotas, K.D., Schmidt, B.G.: Living Rev. Rel. 2, 2 (1999). arXiv:gr-qc/9909058
[28] Nollert, H.P.: Class. Quantum Gravity 16, R159 (1999) · Zbl 0948.83032
[29] Wang, B., Molina, C., Abdalla, E.: Phys. Rev. D 63, 084001 (2001). [ arXiv:hep-th/0005143 ]
[30] Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 63, 124015 (2001). [ arXiv:gr-qc/0101052 ]
[31] Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 64, 084017 (2001). [ arXiv:gr-qc/0105103 ]
[32] Starinets, A.O.: Phys. Rev. D 66, 124013 (2002). [ arXiv:hep-th/0207133 ]
[33] Nunez, A., Starinets, A.O.: Phys. Rev. D 67, 124013 (2003). [ arXiv:hep-th/0302026 ]
[34] Kovtun, P.K., Starinets, A.O.: Phys. Rev. D 72, 086009 (2005). [ arXiv:hep-th/0506184 ]
[35] Maeda, K., Natsuume, M., Okamura, T.: Phys. Rev. D 72, 086012 (2005). [ arXiv:hep-th/0509079 ]
[36] Siopsis, G.: Nucl. Phys. B 715, 483 (2005). [ arXiv:hep-th/0407157 ] · Zbl 1207.81137
[37] Miranda, A.S., Zanchin, V.T.: Phys. Rev. D 73, 064034 (2006). [ arXiv:gr-qc/0510066 ]
[38] Zhang, Y., Jing, J.L.: Int. J. Mod. Phys. D 15, 905 (2006) · Zbl 1119.83020
[39] Hoyos-Badajoz, C., Landsteiner, K., Montero, S.: J. High Energy Phys. 0704, 031 (2007). [ arXiv:hep-th/0612169 ]
[40] Miranda, A.S., Zanchin, V.T.: Int. J. Mod. Phys. D 16, 421 (2007) · Zbl 1117.83069
[41] Amado, I., Hoyos-Badajoz, C.: J. High Energy Phys. 0809, 118 (2008). [ arXiv:0807.2337 [hep-th]]
[42] Miranda, A.S., Ballon-Bayona, C.A., Boschi-Filho, H., Braga, N.R.F.: Black-hole quasinormal modes and scalar glueballs in a finite-temperature AdS/QCD model. arXiv:0909.1790 [hep-th]
[43] Karch, A., Katz, E., Son, D.T., Stephanov, M.A.: Phys. Rev. D 74, 015005 (2006). [ arXiv:hep-ph/0602229 ]
[44] Colangelo, P., De Fazio, F., Jugeau, F., Nicotri, S.: Phys. Lett. B 652, 73 (2007). [ arXiv:hep-ph/0703316 ]
[45] Colangelo, P., De Fazio, F., Giannuzzi, F., Jugeau, F., Nicotri, S.: Phys. Rev. D 78, 055009 (2008). [ arXiv:0807.1054 [hep-ph]]
[46] Herzog, C.P.: Phys. Rev. Lett. 98, 091601 (2007). [ arXiv:hep-th/0608151 ]
[47] Kajantie, K., Tahkokallio, T., Yee, J.T.: J. High Energy Phys. 0701, 019 (2007). [ arXiv:hep-ph/0609254 ]
[48] Ballon Bayona, C.A., Boschi-Filho, H., Braga, N.R.F., Pando Zayas, L.A.: Phys. Rev. D 77, 046002 (2008). [ arXiv:0705.1529 [hep-th]]
[49] Hawking, S.W., Page, D.N.: Commun. Math. Phys. 87, 577 (1983)
[50] Son, D.T., Starinets, A.O.: Hydrodynamics of R-charged black holes. J. High Energy Phys. 0603, 052 (2006) · Zbl 1226.83038
[51] Horowitz, G.T., Hubeny, V.E.: Quasinormal modes of AdS black holes and the approach to thermal equilibrium. Phys. Rev. D 62, 024027 (2000). [ arXiv:hep-th/9909056 ]
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.