Abstract
We study dual geometries to a deformed ABJM model with spatially dependent source functions at finite temperature. These source functions are proportional to the mass function m(x) = m0 sin kx and its derivative m′(x). As dual geometries, we find hairy black branes and AdS solitons corresponding to deconfinement phase and confining phase of the dual field theory, respectively. It turns out that the hairy AdS solitons have lower free energy than the black branes when the Hawking temperature is smaller than the confining scale. Therefore the dual system undergoes the first order phase transition. Even though our study is limited to the so-called Q-lattice ansatz, the solution space contains a set of solutions dual to a supersymmetric mass deformation. As a physical quantity to probe the confining phase, we investigate the holographic entanglement entropy and discuss its behavior in terms of modulation effect.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. de Wit and H. Nicolai, N = 8 Supergravity with Local SO(8) × SU(8) Invariance, Phys. Lett. 108B (1982) 285 [INSPIRE].
A. Das, M. Fischler and M. Roček, SuperHiggs Effect in a New Class of Scalar Models and a Model of Super QED, Phys. Rev. D 16 (1977) 3427 [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Geometry of the embedding of supergravity scalar manifolds in D = 11 and D = 10, Nucl. Phys. B 584 (2000) 149 [hep-th/0002099] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Four-dimensional N = 4, SO(4) gauged supergravity from D = 11, Nucl. Phys. B 574 (2000) 761 [hep-th/9910252] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, N = 5, 6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds, JHEP 09 (2008) 002 [arXiv:0806.4977] [INSPIRE].
J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, A Massive Study of M2-brane Proposals, JHEP 09 (2008) 113 [arXiv:0807.1074] [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].
D. Jang, Y. Kim, O.-K. Kwon and D.D. Tolla, Mass-deformed ABJM Theory and LLM Geometries: Exact Holography, JHEP 04 (2017) 104 [arXiv:1612.05066] [INSPIRE].
D. Jang, Y. Kim, O.-K. Kwon and D.D. Tolla, Holography of Massive M2-brane Theory with Discrete Torsion, arXiv:1906.06881 [INSPIRE].
J.P. Gauntlett and C. Rosen, Susy Q and spatially modulated deformations of ABJM theory, JHEP 10 (2018) 066 [arXiv:1808.02488] [INSPIRE].
I. Arav, J.P. Gauntlett, M. Roberts and C. Rosen, Spatially modulated and supersymmetric deformations of ABJM theory, JHEP 04 (2019) 099 [arXiv:1812.11159] [INSPIRE].
K.K. Kim and O.-K. Kwon, Janus ABJM Models with Mass Deformation, JHEP 08 (2018) 082 [arXiv:1806.06963] [INSPIRE].
K.K. Kim, Y. Kim, O.-K. Kwon and C. Kim, Aspects of Massive ABJM Models with Inhomogeneous Mass Parameters, JHEP 12 (2019) 153 [arXiv:1910.05044] [INSPIRE].
A. Donos, J.P. Gauntlett, C. Rosen and O. Sosa-Rodriguez, Boomerang RG flows in M-theory with intermediate scaling, JHEP 07 (2017) 128 [arXiv:1705.03000] [INSPIRE].
A. Donos, J.P. Gauntlett, C. Rosen and O. Sosa-Rodriguez, Boomerang RG flows with intermediate conformal invariance, JHEP 04 (2018) 017 [arXiv:1712.08017] [INSPIRE].
P. Chesler, A. Lucas and S. Sachdev, Conformal field theories in a periodic potential: results from holography and field theory, Phys. Rev. D 89 (2014) 026005 [arXiv:1308.0329] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Janus solutions in M-theory, JHEP 06 (2009) 018 [arXiv:0904.3313] [INSPIRE].
N. Bobev, N. Halmagyi, K. Pilch and N.P. Warner, Holographic, N = 1 Supersymmetric RG Flows on M2 Branes, JHEP 09 (2009) 043 [arXiv:0901.2736] [INSPIRE].
N. Bobev, K. Pilch and N.P. Warner, Supersymmetric Janus Solutions in Four Dimensions, JHEP 06 (2014) 058 [arXiv:1311.4883] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic Q-lattices, JHEP 04 (2014) 040 [arXiv:1311.3292] [INSPIRE].
Y. Ling, P. Liu, C. Niu, J.-P. Wu and Z.-Y. Xian, Holographic Superconductor on Q-lattice, JHEP 02 (2015) 059 [arXiv:1410.6761] [INSPIRE].
K.-Y. Kim and C. Niu, Homes’ law in Holographic Superconductor with Q-lattices, JHEP 10 (2016) 144 [arXiv:1608.04653] [INSPIRE].
H.-S. Jeong, Y. Ahn, D. Ahn, C. Niu, W.-J. Li and K.-Y. Kim, Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models, JHEP 01 (2018) 140 [arXiv:1708.08822] [INSPIRE].
S. Hyun, B. Ahn, K.K. Kim, O.-K. Kwon and S.-A. Park, Thermodynamics of Inhomogeneously Mass-deformed ABJM Model and Pressure Anisotropy, JHEP 02 (2020) 062 [arXiv:1912.00784] [INSPIRE].
G.T. Horowitz and R.C. Myers, The AdS/CFT correspondence and a new positive energy conjecture for general relativity, Phys. Rev. D 59 (1998) 026005 [hep-th/9808079] [INSPIRE].
T. Nishioka and T. Takayanagi, AdS Bubbles, Entropy and Closed String Tachyons, JHEP 01 (2007) 090 [hep-th/0611035] [INSPIRE].
T. Nishioka, S. Ryu and T. Takayanagi, Holographic Superconductor/Insulator Transition at Zero Temperature, JHEP 03 (2010) 131 [arXiv:0911.0962] [INSPIRE].
I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [INSPIRE].
T. Hertog and G.T. Horowitz, Designer gravity and field theory effective potentials, Phys. Rev. Lett. 94 (2005) 221301 [hep-th/0412169] [INSPIRE].
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [INSPIRE].
A. Cabo-Bizet, U. Kol, L.A. Pando Zayas, I. Papadimitriou and V. Rathee, Entropy functional and the holographic attractor mechanism, JHEP 05 (2018) 155 [arXiv:1712.01849] [INSPIRE].
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE].
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy, JHEP 08 (2006) 045 [hep-th/0605073] [INSPIRE].
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
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1911.05783
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
Ahn, B., Hyun, S., Kim, K.K. et al. AdS Q-soliton and inhomogeneously mass-deformed ABJM model. J. High Energ. Phys. 2020, 132 (2020). https://doi.org/10.1007/JHEP02(2020)132
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2020)132