Abstract
We study non-supersymmetric truncations of ω-deformed \( \mathcal{N}=8 \) gauged supergravity that retain a U(1) gauge field and three scalars, of which two are neutral and one charged. We construct dyonic domain-wall and black hole solutions with AdS4 boundary conditions when only one (neutral) scalar is non-vanishing, and examine their behavior as the magnetic field and temperature of the system are varied. In the infrared the domain-wall solutions approach either dyonic \( {\mathrm{AdS}}_2\times {\mathbb{R}}^2 \) or else Lifshitz-like, hyperscaling violating geometries. The scaling exponents of the latter are z = 3/2 and θ = −2, and are independent of the ω-deformation. New ω-dependent AdS4 vacua are also identified. We find a rich structure for the magnetization of the system, including a line of metamagnetic first-order phase transitions when the magnetic field lies in a particular range. Such transitions arise generically in the ω-deformed theories. Finally, we study the onset of a superfluid phase by allowing a fluctuation of the charged scalar field to condense, spontaneously breaking the abelian gauge symmetry. The mechanism by which the superconducting instability ceases to exist for strong magnetic fields is different depending on whether the field is positive or negative. Finally, such instabilities are expected to compete with spatially modulated phases.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Dall’Agata, G. Inverso and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys. Rev. Lett. 109 (2012) 201301 [arXiv:1209.0760] [INSPIRE].
B. de Wit and H. Nicolai, Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions, JHEP 05 (2013) 077 [arXiv:1302.6219] [INSPIRE].
T. Fischbacher, K. Pilch and N.P. Warner, New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory, arXiv:1010.4910 [INSPIRE].
B. de Wit and H. Nicolai, N=8 Supergravity, Nucl. Phys. B 208 (1982) 323 [INSPIRE].
J.P. Gauntlett, J. Sonner and T. Wiseman, Quantum Criticality and Holographic Superconductors in M-theory, JHEP 02 (2010) 060 [arXiv:0912.0512] [INSPIRE].
C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective Holographic Theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE].
B. Gouteraux and E. Kiritsis, Generalized Holographic Quantum Criticality at Finite Density, JHEP 12 (2011) 036 [arXiv:1107.2116] [INSPIRE].
P. Bueno, W. Chemissany and C.S. Shahbazi, On hvLif -like solutions in gauged Supergravity, Eur. Phys. J. C 74 (2014) 2684 [arXiv:1212.4826] [INSPIRE].
B. Gouteraux and E. Kiritsis, Quantum critical lines in holographic phases with (un)broken symmetry, JHEP 04 (2013) 053 [arXiv:1212.2625] [INSPIRE].
G. Lifschytz and M. Lippert, Holographic Magnetic Phase Transition, Phys. Rev. D 80 (2009) 066007 [arXiv:0906.3892] [INSPIRE].
E. D’Hoker and P. Kraus, Holographic Metamagnetism, Quantum Criticality and Crossover Behavior, JHEP 05 (2010) 083 [arXiv:1003.1302] [INSPIRE].
O. Bergman, J. Erdmenger and G. Lifschytz, A Review of Magnetic Phenomena in Probe-Brane Holographic Matter, Lect. Notes Phys. 871 (2013) 591 [arXiv:1207.5953] [INSPIRE].
A. Donos, J.P. Gauntlett, J. Sonner and B. Withers, Competing orders in M-theory: superfluids, stripes and metamagnetism, JHEP 03 (2013) 108 [arXiv:1212.0871] [INSPIRE].
S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a Holographic Superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic Superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [INSPIRE].
S. Nakamura, H. Ooguri and C.-S. Park, Gravity Dual of Spatially Modulated Phase, Phys. Rev. D 81 (2010) 044018 [arXiv:0911.0679] [INSPIRE].
H. Ooguri and C.-S. Park, Holographic End-Point of Spatially Modulated Phase Transition, Phys. Rev. D 82 (2010) 126001 [arXiv:1007.3737] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic striped phases, JHEP 08 (2011) 140 [arXiv:1106.2004] [INSPIRE].
A. Donos, J.P. Gauntlett and C. Pantelidou, Spatially modulated instabilities of magnetic black branes, JHEP 01 (2012) 061 [arXiv:1109.0471] [INSPIRE].
J Chang et al., Direct observation of competition between superconductivity and charge density wave order in Y Ba 2 Cu 3 O 6.67, Nature Phys. 8 (2012) 871.
S.S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972] [INSPIRE].
G.T. Horowitz and M.M. Roberts, Zero Temperature Limit of Holographic Superconductors, JHEP 11 (2009) 015 [arXiv:0908.3677] [INSPIRE].
J. Bhattacharya, S. Cremonini and B. Goutéraux, Intermediate scalings in holographic RG flows and conductivities, JHEP 02 (2015) 035 [arXiv:1409.4797] [INSPIRE].
A. Ito et al., Study of Ising system Fe x Mn 1−x TiO 3 with exchange frustrations by observing magnetization process, J. Magnet. Magnet. Mater. 104-107 (1992) 1635.
K. Kaczmarsca et al., Magnetic, resistivity and ESR studies of the compounds GdNi 2 Sb 2 and GdCu 2 Sb 2, J. Magnet. Magnet. Mater. 147 (1995) 81.
S.A. Grigera et al., Magnetic field-tuned quantum criticality in the metallic ruthenate Sr 3 Ru 2 O 7, Science 294 (2001) 329.
C. Krey et al., First order metamagnetic transition in Ho 2 T i 2 O 7 observed by vibrating coil magnetometry at milli-Kelvin temperatures, Phys. Rev. Lett. 108 (2012) 257204.
H. Lü, Y. Pang and C.N. Pope, AdS Dyonic Black Hole and its Thermodynamics, JHEP 11 (2013) 033 [arXiv:1307.6243] [INSPIRE].
H. Lü, Y. Pang and C.N. Pope, An ω deformation of gauged STU supergravity, JHEP 04 (2014) 175 [arXiv:1402.1994] [INSPIRE].
T. Hertog and K. Maeda, Black holes with scalar hair and asymptotics in N = 8 supergravity, JHEP 07 (2004) 051 [hep-th/0404261] [INSPIRE].
A. Ashtekar and A. Magnon, Asymptotically anti-de Sitter space-times, Class. Quant. Grav. 1 (1984) L39 [INSPIRE].
A. Ashtekar and S. Das, Asymptotically Anti-de Sitter space-times: Conserved quantities, Class. Quant. Grav. 17 (2000) L17 [hep-th/9911230] [INSPIRE].
S. Cremonini and A. Sinkovics, Spatially Modulated Instabilities of Geometries with Hyperscaling Violation, JHEP 01 (2014) 099 [arXiv:1212.4172] [INSPIRE].
N. Iizuka and K. Maeda, Stripe Instabilities of Geometries with Hyperscaling Violation, Phys. Rev. D 87 (2013) 126006 [arXiv:1301.5677] [INSPIRE].
S. Cremonini, Spatially Modulated Instabilities for Scaling Solutions at Finite Charge Density, arXiv:1310.3279 [INSPIRE].
A. Borghese, G. Dibitetto, A. Guarino, D. Roest and O. Varela, The SU(3)-invariant sector of new maximal supergravity, JHEP 03 (2013) 082 [arXiv:1211.5335] [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: 1411.0010
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Cremonini, S., Pang, Y., Pope, C.N. et al. Superfluid and metamagnetic phase transitions in ω-deformed gauged supergravity. J. High Energ. Phys. 2015, 74 (2015). https://doi.org/10.1007/JHEP04(2015)074
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2015)074