Breaking an Abelian gauge symmetry near a black hole horizon

By S. Gubser. 2008

1,165 citations recorded by the source corpus.

I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4a9fb555a872d3d94deb004f10cb3d3444a25393

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Citations in the corpus

Gauge gravity duality for d-wave superconductors: prospects and challenges (2010, neutral): “A toy-model for an s-wave holographic superconductor was first constructed in [10] following the observation in [11] that in AdS space black holes can have scalar hair.”
Analytic holographic superconductor (2010, background): “The model of [1, 2] has been studied over the last several years in great detail.”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “This will be spontaneous symmetry breaking if the boundary source is zero, or explicit symmetry breaking if the source is non-zero, [17].”
Pseudogap and time reversal breaking in a holographic superconductor (2008, neutral): “38 98 v2 [”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “Our action is a non-linear extension of one of those considered recently in [30] in the context of solutions corresponding to holographic superconductivity [31][32][33] and offers the possibility of finding exact embeddings”
Holography of charged dilaton black holes (2009, background): “(3)In the context of holographic superconductors [10, 11], another class of black branes with vanishing entropy at T = 0 was recently found in [12, 13, 14].”
Universality class of holographic superconductors (2009, methodology): “[9] S.”
Building a holographic superconductor. (2008, methodology): “can be obtained from the full Einstein-Maxwell-scalar theory considered in [ 11 ] through a”
Complete phase diagrams for a holographic superconductor/insulator system (2010, background): “Recently, this correspondence has led to gravitational descriptions of superfluids and superconductors [4, 5, 6].”
Mimicking the QCD equation of state with a dual black hole (2008, background): “However, it is straightforward in principle to work with multiple scalars as well as with gauge fields: in this connection see for example [45, 46].”
A theory of first order dissipative superfluid dynamics (2011, methodology): “As has been discussed in detail in [38, 39, 34, 40], to construct a holographic superfluid one needs to spontaneously break a gauge symmetry in an asymptotically AdS geometry.”
Holographic stress tensor for non-relativistic theories (2009, neutral): “The second order transition was modeled by a charged scalar condensing in the vicinity of a black hole event horizon [46, 47] in AdS.”
Electron stars for holographic metallic criticality (2010, neutral): “e found to be unstable towards a range of processes that discharge the black hole and can lead to spacetimes without black hole horizons. The instabilities include condensation of charged scalar elds [26], Cooper pairing of charged fermions [27], emission of D branes [28, 29, 14], backreaction of a ”
Supercurrent: Vector hair for an AdS black hole (2008, background): “Recently it has been shown by Gubser that in the AdS4 background one can have condenstation of a charged scalar field [17](1).”