Abstract
The holographic duality between cascading gauge theory and type IIB supergravity on warped deformed conifold with fluxes reveals exotic thermal phases with nonzero expectation values of certain operators, persistent to high temperatures. These phases, in the limit of vanishing the strong coupling scale of the cascading gauge theory, would realize thermal ordered conformal phases in ℝ3,1 relativistic QFT. We find that the dual Klebanov-Strassler/Klebanov-Tseytlin black branes in this limit are outside the regime of the supergravity approximation, rendering the construction of such conformal ordered states unreliable. While we have been able to construct conformal order in phenomenologically deformed effective theory of type IIB supergravity reduced on warped deformed conifold with fluxes, the removal of the deformation parameter causes the destruction of the thermal conformal ordered phases. Once again, we find that the holographic models with the conformal ordered phases are in the String Theory swampland.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Chai, S. Chaudhuri, C. Choi, Z. Komargodski, E. Rabinovici and M. Smolkin, Thermal Order in Conformal Theories, Phys. Rev. D 102 (2020) 065014 [arXiv:2005.03676] [INSPIRE].
A. Buchel and C. Pagnutti, Exotic Hairy Black Holes, Nucl. Phys. B 824 (2010) 85 [arXiv:0904.1716] [INSPIRE].
A. Buchel, Thermal order in holographic CFTs and no-hair theorem violation in black branes, Nucl. Phys. B 967 (2021) 115425 [arXiv:2005.07833] [INSPIRE].
A. Buchel, Fate of the conformal order, Phys. Rev. D 103 (2021) 026008 [arXiv:2011.11509] [INSPIRE].
A. Buchel, SUGRA/Strings like to be bald, Phys. Lett. B 814 (2021) 136111 [arXiv:2007.09420] [INSPIRE].
S. Chaudhuri, C. Choi and E. Rabinovici, Thermal order in large N conformal gauge theories, JHEP 04 (2021) 203 [arXiv:2011.13981] [INSPIRE].
N. Chai, A. Dymarsky and M. Smolkin, Model of Persistent Breaking of Discrete Symmetry, Phys. Rev. Lett. 128 (2022) 011601 [arXiv:2106.09723] [INSPIRE].
S. Chaudhuri and E. Rabinovici, Symmetry breaking at high temperatures in large N gauge theories, JHEP 08 (2021) 148 [arXiv:2106.11323] [INSPIRE].
A. Buchel, Compactified holographic conformal order, Nucl. Phys. B 973 (2021) 115605 [arXiv:2107.05086] [INSPIRE].
N. Chai, A. Dymarsky, M. Goykhman, R. Sinha and M. Smolkin, A model of persistent breaking of continuous symmetry, SciPost Phys. 12 (2022) 181 [arXiv:2111.02474] [INSPIRE].
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
K. Pilch and N. P. Warner, N = 2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [INSPIRE].
A. Buchel, A. W. Peet and J. Polchinski, Gauge dual and noncommutative extension of an N = 2 supergravity solution, Phys. Rev. D 63 (2001) 044009 [hep-th/0008076] [INSPIRE].
N. J. Evans, C. V. Johnson and M. Petrini, The Enhancon and N = 2 gauge theory: Gravity RG flows, JHEP 10 (2000) 022 [hep-th/0008081] [INSPIRE].
I. R. Klebanov and M. J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
C. P. Herzog, I. R. Klebanov and P. Ouyang, Remarks on the warped deformed conifold, in Modern Trends in String Theory: 2nd Lisbon School on g Theory Superstrings, Lisbon, Portugal (2001) [hep-th/0108101] [INSPIRE].
J. M. Maldacena and C. Núñez, Towards the large N limit of pure N = 1 superYang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].
P. Candelas and X. C. de la Ossa, Comments on Conifolds, Nucl. Phys. B 342 (1990) 246 [INSPIRE].
I. R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [INSPIRE].
A. Buchel, Klebanov-Strassler black hole, JHEP 01 (2019) 207 [arXiv:1809.08484] [INSPIRE].
D. Cassani, G. Dall’Agata and A. F. Faedo, Type IIB supergravity on squashed Sasaki-Einstein manifolds, JHEP 05 (2010) 094 [arXiv:1003.4283] [INSPIRE].
A. Buchel, Finite temperature resolution of the Klebanov-Tseytlin singularity, Nucl. Phys. B 600 (2001) 219 [hep-th/0011146] [INSPIRE].
A. Buchel, C. P. Herzog, I. R. Klebanov, L. A. Pando Zayas and A. A. Tseytlin, Nonextremal gravity duals for fractional D-3 branes on the conifold, JHEP 04 (2001) 033 [hep-th/0102105] [INSPIRE].
S. S. Gubser, C. P. Herzog, I. R. Klebanov and A. A. Tseytlin, Restoration of chiral symmetry: A Supergravity perspective, JHEP 05 (2001) 028 [hep-th/0102172] [INSPIRE].
O. Aharony, A. Buchel and A. Yarom, Holographic renormalization of cascading gauge theories, Phys. Rev. D 72 (2005) 066003 [hep-th/0506002] [INSPIRE].
O. Aharony, A. Buchel and P. Kerner, The Black hole in the throat: Thermodynamics of strongly coupled cascading gauge theories, Phys. Rev. D 76 (2007) 086005 [arXiv:0706.1768] [INSPIRE].
A. Buchel, Hydrodynamics of the cascading plasma, Nucl. Phys. B 820 (2009) 385 [arXiv:0903.3605] [INSPIRE].
A. Buchel, Chiral symmetry breaking in cascading gauge theory plasma, Nucl. Phys. B 847 (2011) 297 [arXiv:1012.2404] [INSPIRE].
A. Buchel, A bestiary of black holes on the conifold with fluxes, JHEP 06 (2021) 102 [arXiv:2103.15188] [INSPIRE].
A. Buchel, A Holographic perspective on Gubser-Mitra conjecture, Nucl. Phys. B 731 (2005) 109 [hep-th/0507275] [INSPIRE].
A. Buchel, Transport properties of cascading gauge theories, Phys. Rev. D 72 (2005) 106002 [hep-th/0509083] [INSPIRE].
I. Bena, A. Buchel and S. Lüst, Throat destabilization (for profit and for fun), arXiv:1910.08094 [INSPIRE].
A. Buchel and J. T. Liu, Thermodynamics of the N = 2* flow, JHEP 11 (2003) 031 [hep-th/0305064] [INSPIRE].
S. S. Gubser, Phase transitions near black hole horizons, Class. Quant. Grav. 22 (2005) 5121 [hep-th/0505189] [INSPIRE].
S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Holographic Superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [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: 2205.00612
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
Buchel, A. The quest for a conifold conformal order. J. High Energ. Phys. 2022, 80 (2022). https://doi.org/10.1007/JHEP08(2022)080
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2022)080