p-wave Holographic Superconductors and five-dimensional gauged Supergravity

Abstract

We explore five-dimensional $\mathcal{N}=4$ $SU(2)\times U(1)$ and $\mathcal{N}=8$ SO(6) gauged supergravities as frameworks for condensed matter applications. These theories contain charged (dilatonic) black holes and 2-forms which have non-trivial quantum numbers with respect to U(1) subgroups of SO(6). A question of interest is whether they also contain black holes with two-form hair with the required asymptotic to give rise to holographic superconductivity. We first consider the $\mathcal{N}=4$ case, which contains a complex two-form potential $A_{\mu \nu }$ which has U(1) charge $\pm 1$. We find that a slight generalization, where the two-form potential has an arbitrary charge $q$, leads to a five-dimensional model that exhibits second-order superconducting transitions of p-wave type where the role of order parameter is played by $A_{\mu \nu }$, provided $q\gtrsim 5.6$. We identify the operator that condenses in the dual CFT, which is closely related to $\mathcal{N}=4$ Super Yang-Mills theory with chemical potentials. Similar phase transitions between R-charged black holes and black holes with 2-form hair are found in a generalized version of the $\mathcal{N}=8$ gauged supergravity Lagrangian where the two-forms have charge $q\gtrsim 1.8$.

35 pages, 14 figures

References in corpus (30)

• Building an AdS/CFT superconductor
• Holographic Superconductors
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• The gravity dual of a p-wave superconductor
• Gauge Theories from Toric Geometry and Brane Tilings
• Non-Extreme Black Holes of Five Dimensional N=2 AdS Supergravity
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Colorful horizons with charge in anti-de Sitter space
• Thermodynamic Stability and Phases of General Spinning Branes
• Quantum Criticality and Holographic Superconductors in M-theory
• Pseudogap and time reversal breaking in a holographic superconductor
• Thermodynamics of spinning D3-branes
• On Holographic p-wave Superfluids with Back-reaction
• On N=8 Supergravity on $Ad{S}_5$ and N=4 Superconformal Yang-Mills theory
• A simple class of N=3 gauge/gravity duals
• Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Flavor Superconductivity from Gauge/Gravity Duality
• Gauge gravity duality for d-wave superconductors: prospects and challenges
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Hard-gapped Holographic Superconductors
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Towards M2-brane Theories for Generic Toric Singularities
• A general class of holographic superconductors
• D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
• Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space
• Antisymmetric tensor field on $Ad{S}_5$
• Phenomenological Models of Holographic Superconductors and Hall currents
• Exploring colourful holographic superconductors

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• Towards Complete Phase Diagrams of a Holographic P-wave Superconductor Model
• p-wave Holographic Superconductors from Born-Infeld Black Holes
• Rotating Hairy Black Holes in AdS${}_5\times$S${}^5$
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• A Holographic Chiral p_x + ip_y Superconductor
• P-wave holographic superconductor/insulator phase transitions affected by dark matter sector
• Vector Condensate and AdS Soliton Instability Induced by a Magnetic Field
• Semi-local quantum criticality in string/M-theory
• Condensate flow in holographic models in the presence of dark matter
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Holographic fermions with running chemical potential and dipole coupling
• Holographic superconductors with Weyl corrections
• Holographic droplets in p-wave insulator/superconductor transition
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• Holographic vortices in the presence of dark matter sector
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Non-relativistic Josephson Junction from Holography
• The holographic p+ip solution failed to win the competition in dRGT massive gravity
• Excited states of holographic superconductors
• Holographic Josephson Junctions and Berry holonomy from D-branes
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