Abstract
We study the giant graviton solution as the AdS5 × S 5 background is heated up to finite temperature. The analysis employs the thermal brane probe technique based on the blackfold approach. We focus mainly on the thermal giant graviton corresponding to a thermal D3-brane probe wrapped on an S 3 moving on the S 5 of the background at finite temperature. We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S 3. We compute the free energy of the thermal giant graviton in the low temperature regime, which potentially could be compared to that of a thermal state on the gauge theory side. Moreover, we analyze the space of solutions and stability of the thermal giant graviton and find that, in parallel with the extremal case, there are two available solutions for a given temperature and angular momentum, one stable and one unstable. In order to write down the equations of motion, action and conserved charges for the thermal giant graviton we present a slight generalization of the blackfold formalism for charged black branes. Finally, we also briefly consider the thermal giant graviton moving in the AdS5 part.
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References
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, World-volume effective theory for higher-dimensional black holes, Phys. Rev. Lett. 102 (2009) 191301 [arXiv:0902.0427] [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, Essentials of blackfold dynamics, JHEP 03 (2010) 063 [arXiv:0910.1601] [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos, N.A. Obers and M.J. Rodriguez, The phase structure of higher-dimensional black rings and black holes, JHEP 10 (2007) 110 [arXiv:0708.2181] [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, Blackfold approach for higher-dimensional black holes, Acta Phys. Polon. B 40 (2009) 3459 [INSPIRE].
R. Emparan, “Blackfolds,” arXiv:1106.2021 [hep-th] R. Emparan, Blackfolds, arXiv:1106.2021 [INSPIRE].
J. Camps and R. Emparan, Derivation of the blackfold effective theory, JHEP 03 (2012) 038 [Erratum ibid. 1206 (2012) 155] [arXiv:1201.3506] [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, Blackfolds in supergravity and string theory, JHEP 08 (2011) 154 [arXiv:1106.4428] [INSPIRE].
M.M. Caldarelli, R. Emparan and B. Van Pol, Higher-dimensional rotating charged black holes, JHEP 04 (2011) 013 [arXiv:1012.4517] [INSPIRE].
G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Heating up the BIon, JHEP 06 (2011) 058 [arXiv:1012.1494] [INSPIRE].
G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Thermodynamics of the hot BIon, Nucl. Phys. B 851 (2011) 462 [arXiv:1101.1297] [INSPIRE].
G. Grignani, T. Harmark, A. Marini, N.A. Obers and M. Orselli, Thermal string probes in AdS and finite temperature Wilson loops, JHEP 06 (2012) 144 [arXiv:1201.4862] [INSPIRE].
V. Niarchos and K. Siampos, M2-M5 blackfold funnels, JHEP 06 (2012) 175 [arXiv:1205.1535] [INSPIRE].
V. Niarchos and K. Siampos, Entropy of the self-dual string soliton, JHEP 07 (2012) 134 [arXiv:1206.2935] [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, New horizons for black holes and branes, JHEP 04 (2010) 046 [arXiv:0912.2352] [INSPIRE].
M.M. Caldarelli, R. Emparan and M.J. Rodriguez, Black rings in (anti)-de Sitter space, JHEP 11 (2008) 011 [arXiv:0806.1954] [INSPIRE].
J. Armas and N.A. Obers, Blackfolds in (anti)-de Sitter backgrounds, Phys. Rev. D 83 (2011) 084039 [arXiv:1012.5081] [INSPIRE].
J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from Anti-de Sitter space, JHEP 06 (2000) 008 [hep-th/0003075] [INSPIRE].
M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and goliath, JHEP 08 (2000) 040 [hep-th/0008015] [INSPIRE].
A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual, JHEP 08 (2000) 051 [hep-th/0008016] [INSPIRE].
S. Corley, A. Jevicki and S. Ramgoolam, Exact correlators of giant gravitons from dual N =4 SYM theory,Adv. Theor. Math. Phys. 5 (2002) 809[hep-th/0111222] [INSPIRE].
V. Balasubramanian, M. Berkooz, A. Naqvi and M.J. Strassler, Giant gravitons in conformal field theory, JHEP 04 (2002) 034 [hep-th/0107119] [INSPIRE].
R.A. Janik, P. Surowka and A. Wereszczynski, On correlation functions of operators dual to classical spinning string states, JHEP 05 (2010) 030 [arXiv:1002.4613] [INSPIRE].
M.M. Caldarelli and P.J. Silva, Multi-giant graviton systems, SUSY breaking and CFT, JHEP 02 (2004) 052 [hep-th/0401213] [INSPIRE].
D. Bak, B. Chen and J.-B. Wu, Holographic correlation functions for open strings and branes, JHEP 06 (2011) 014 [arXiv:1103.2024] [INSPIRE].
A. Bissi, C. Kristjansen, D. Young and K. Zoubos, Holographic three-point functions of giant gravitons, JHEP 06 (2011) 085 [arXiv:1103.4079] [INSPIRE].
J. Armas, J. Camps, T. Harmark and N.A. Obers, The young modulus of black strings and the fine structure of blackfolds, JHEP 02 (2012) 110 [arXiv:1110.4835] [INSPIRE].
B. Carter, Essentials of classical brane dynamics, Int. J. Theor. Phys. 40 (2001) 2099 [gr-qc/0012036] [INSPIRE].
J. Camps, R. Emparan, P. Figueras, S. Giusto and A. Saxena, Black rings in Taub-NUT and D0-D6 interactions, JHEP 02 (2009) 021 [arXiv:0811.2088] [INSPIRE].
G. Arcioni and E. Lozano-Tellechea, Stability and critical phenomena of black holes and black rings, Phys. Rev. D 72 (2005) 104021 [hep-th/0412118] [INSPIRE].
R.C. Myers and O. Tafjord, Superstars and giant gravitons, JHEP 11 (2001) 009 [hep-th/0109127] [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
J.T. Liu, H. Lü, C. Pope and J.F. Vazquez-Poritz, Bubbling AdS black holes, JHEP 10 (2007) 030 [hep-th/0703184] [INSPIRE].
A. Buchel, Coarse-graining 1/2 BPS geometries of type IIB supergravity, Int. J. Mod. Phys. A 21 (2006) 3495 [hep-th/0409271] [INSPIRE].
V. Balasubramanian, J. de Boer, V. Jejjala and J. Simon, The library of babel: on the origin of gravitational thermodynamics, JHEP 12 (2005) 006 [hep-th/0508023] [INSPIRE].
S. Giombi, M. Kulaxizi, R. Ricci and D. Trancanelli, Half-BPS geometries and thermodynamics of free fermions, JHEP 01 (2007) 067 [hep-th/0512101] [INSPIRE].
A. Mikhailov, Giant gravitons from holomorphic surfaces, JHEP 11 (2000) 027 [hep-th/0010206] [INSPIRE].
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ArXiv ePrint: 1207.2789
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Armas, J., Harmark, T., Obers, N.A. et al. Thermal Giant Gravitons. J. High Energ. Phys. 2012, 123 (2012). https://doi.org/10.1007/JHEP11(2012)123
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DOI: https://doi.org/10.1007/JHEP11(2012)123