Abstract
We use mixed correlators in thermal CFT as clean probes of the strong gravity effects in their holographic duals. The dual interpretation of mixing is an inelastic conversion of one field to another field, induced by gravity: tidal excitation. We find an enhanced mixing at high temperatures, corresponding to large AdS black holes, concentrated to small boundary momenta, dual to the deep bulk, where strong gravitational fields are expected. We also find large \( \mathcal{O}\left(1/{G}_N\right) \) tidal conversion in the low temperature phase of the U(N) vector model, strengthening suspicions that the bulk dual of this phase also houses extremely compact objects.
Article PDF
Similar content being viewed by others
References
M. Grinberg and J. Maldacena, Proper time to the black hole singularity from thermal one-point functions, JHEP 03 (2021) 131 [arXiv:2011.01004] [INSPIRE].
D. Rodriguez-Gomez and J. G. Russo, Correlation functions in finite temperature CFT and black hole singularities, JHEP 06 (2021) 048 [arXiv:2102.11891] [INSPIRE].
M. Dodelson and H. Ooguri, Singularities of thermal correlators at strong coupling, Phys. Rev. D 103 (2021) 066018 [arXiv:2010.09734] [INSPIRE].
S.-J. Rey and V. Rosenhaus, Scanning Tunneling Macroscopy, Black Holes, and AdS/CFT Bulk Locality, JHEP 07 (2014) 050 [arXiv:1403.3943] [INSPIRE].
A. Jevicki and K. Suzuki, Thermofield Duality for Higher Spin Rindler Gravity, JHEP 02 (2016) 094 [arXiv:1508.07956] [INSPIRE].
A. Jevicki and J. Yoon, Bulk from Bi-locals in Thermo Field CFT, JHEP 02 (2016) 090 [arXiv:1503.08484] [INSPIRE].
I. Amado, B. Sundborg, L. Thorlacius and N. Wintergerst, Probing emergent geometry through phase transitions in free vector and matrix models, JHEP 02 (2017) 005 [arXiv:1612.03009] [INSPIRE].
I. Amado, B. Sundborg, L. Thorlacius and N. Wintergerst, Black holes from large N singlet models, JHEP 03 (2018) 075 [arXiv:1712.06963] [INSPIRE].
V. E. Hubeny, H. Liu and M. Rangamani, Bulk-cone singularities & signatures of horizon formation in AdS/CFT, JHEP 01 (2007) 009 [hep-th/0610041] [INSPIRE].
A. Tyukov, R. Walker and N. P. Warner, Tidal Stresses and Energy Gaps in Microstate Geometries, JHEP 02 (2018) 122 [arXiv:1710.09006] [INSPIRE].
I. Bena, E. J. Martinec, R. Walker and N. P. Warner, Early Scrambling and Capped BTZ Geometries, JHEP 04 (2019) 126 [arXiv:1812.05110] [INSPIRE].
I. Bena, A. Houppe and N. P. Warner, Delaying the Inevitable: Tidal Disruption in Microstate Geometries, JHEP 02 (2021) 103 [arXiv:2006.13939] [INSPIRE].
E. J. Martinec and N. P. Warner, The Harder They Fall, the Bigger They Become: Tidal Trapping of Strings by Microstate Geometries, JHEP 04 (2021) 259 [arXiv:2009.07847] [INSPIRE].
B. Craps, M. De Clerck, P. Hacker, K. Nguyen and C. Rabideau, Slow scrambling in extremal BTZ and microstate geometries, JHEP 03 (2021) 020 [arXiv:2009.08518] [INSPIRE].
L. Iliesiu, M. Koloğlu, R. Mahajan, E. Perlmutter and D. Simmons-Duffin, The Conformal Bootstrap at Finite Temperature, JHEP 10 (2018) 070 [arXiv:1802.10266] [INSPIRE].
Y. Gobeil, A. Maloney, G. S. Ng and J.-q. Wu, Thermal Conformal Blocks, SciPost Phys. 7 (2019) 015 [arXiv:1802.10537] [INSPIRE].
R. Karlsson, A. Parnachev and P. Tadić, Thermalization in Large-N CFTs, arXiv:2102.04953 [INSPIRE].
B. Sundborg, The Hagedorn transition, deconfinement and N = 4 SYM theory, Nucl. Phys. B 573 (2000) 349 [hep-th/9908001] [INSPIRE].
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn - deconfinement phase transition in weakly coupled large N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [hep-th/0310285] [INSPIRE].
S. H. Shenker and X. Yin, Vector Models in the Singlet Sector at Finite Temperature, arXiv:1109.3519 [INSPIRE].
I. R. Klebanov and A. M. Polyakov, AdS dual of the critical O(N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] [INSPIRE].
E. S. Fradkin and M. A. Vasiliev, On the Gravitational Interaction of Massless Higher Spin Fields, Phys. Lett. B 189 (1987) 89 [INSPIRE].
E. S. Fradkin and M. A. Vasiliev, Cubic Interaction in Extended Theories of Massless Higher Spin Fields, Nucl. Phys. B 291 (1987) 141 [INSPIRE].
E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303 [Erratum ibid. 660 (2003) 403] [hep-th/0205131] [INSPIRE].
B. Sundborg, Stringy gravity, interacting tensionless strings and massless higher spins, Nucl. Phys. B Proc. Suppl. 102 (2001) 113 [hep-th/0103247] [INSPIRE].
P. Haggi-Mani and B. Sundborg, Free large N supersymmetric Yang-Mills theory as a string theory, JHEP 04 (2000) 031 [hep-th/0002189] [INSPIRE].
S. Giombi, Higher Spin — CFT Duality, in Theoretical Advanced Study Institute in Elementary Particle Physics: New Frontiers in Fields and Strings, TASI 2015, Boulder, CO, U.S.A. (2016) DOI [arXiv:1607.02967] [INSPIRE].
S. Banerjee, K. Papadodimas, S. Raju, P. Samantray and P. Shrivastava, A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta, SciPost Phys. 8 (2020) 064 [arXiv:1902.07203] [INSPIRE].
S. Banerjee, J. Engelsöy, J. Larana-Aragon, B. Sundborg, L. Thorlacius and N. Wintergerst, Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models, JHEP 08 (2019) 139 [arXiv:1903.12242] [INSPIRE].
R. Hagedorn, Statistical thermodynamics of strong interactions at high-energies, Nuovo Cim. Suppl. 3 (1965) 147 [INSPIRE].
B. Sundborg, Thermodynamics of Superstrings at High-energy Densities, Nucl. Phys. B 254 (1985) 583 [INSPIRE].
T. Harmark and M. Wilhelm, Hagedorn Temperature of AdS5/CFT4 via Integrability, Phys. Rev. Lett. 120 (2018) 071605 [arXiv:1706.03074] [INSPIRE].
T. Harmark and M. Wilhelm, The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve, Phys. Lett. B 786 (2018) 53 [arXiv:1803.04416] [INSPIRE].
C. T. Asplund and D. Berenstein, Small AdS black holes from SYM, Phys. Lett. B 673 (2009) 264 [arXiv:0809.0712] [INSPIRE].
M. Hanada and J. Maltz, A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 ×S5, JHEP 02 (2017) 012 [arXiv:1608.03276] [INSPIRE].
D. Berenstein, Submatrix deconfinement and small black holes in AdS, JHEP 09 (2018) 054 [arXiv:1806.05729] [INSPIRE].
M. Hanada, A. Jevicki, C. Peng and N. Wintergerst, Anatomy of Deconfinement, JHEP 12 (2019) 167 [arXiv:1909.09118] [INSPIRE].
M. Hanada, H. Shimada and N. Wintergerst, Color Confinement and Bose-Einstein Condensation, arXiv:2001.10459 [INSPIRE].
L. Álvarez-Gaumé, C. Gomez, H. Liu and S. Wadia, Finite temperature effective action, AdS5 black holes, and 1/N expansion, Phys. Rev. D 71 (2005) 124023 [hep-th/0502227] [INSPIRE].
G. T. Horowitz and J. Polchinski, A Correspondence principle for black holes and strings, Phys. Rev. D 55 (1997) 6189 [hep-th/9612146] [INSPIRE].
Y. Chen and J. Maldacena, String scale black holes at large D, arXiv:2106.02169 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2106.06520
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Engelsöy, J., Sundborg, B. Tidal excitation as mixing in thermal CFT. J. High Energ. Phys. 2021, 85 (2021). https://doi.org/10.1007/JHEP08(2021)085
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2021)085