Breaking an Abelian gauge symmetry near a black hole horizon

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.

11.15.Ex
11.25.Tq
74.20.-z
gauge field theory: U(1)
Higgs model
cosmological constant: <0
black hole: horizon
spontaneous symmetry breaking
fluctuation
stability

References(18)

Figures(4)

Phase transitions near black hole horizons

Steven S. Gubser
(
- Princeton U.
)

- Class.Quant.Grav. 22 (2005) 5121-5144
•
e-Print:
- hep-th/0505189
•
DOI:
- 10.1088/0264-9381/22/23/013

Black hole hair: 25 - years after

Jacob D. Bekenstein
(
- Hebrew U.
)

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Quantum critical transport, duality, and M-theory

Christopher P. Herzog
(
- Washington U., Seattle
)
,
Pavel Kovtun
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- Santa Barbara, KITP
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Subir Sachdev
(
- Harvard U.
)
,
Dam Thanh Son
(
- Washington U., Seattle
)

- Phys.Rev.D 75 (2007) 085020
•
e-Print:
- hep-th/0701036
•
DOI:
- 10.1103/PhysRevD.75.085020

Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes

Sean A. Hartnoll
(
- Santa Barbara, KITP
)
,
Pavel K. Kovtun
(
- Santa Barbara, KITP
)
,
Markus Muller
(
- Harvard U.
)
,
Subir Sachdev
(
- Harvard U.
)

- Phys.Rev.B 76 (2007) 144502
•
e-Print:
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Ohm's Law at strong coupling: S duality and the cyclotron resonance

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Impure AdS/CFT correspondence

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Holographic phase transitions at finite baryon density

Shinpei Kobayashi
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
David Mateos
(
- UC, Santa Barbara
)
,
Shunji Matsuura
(
- Perimeter Inst. Theor. Phys. and
- Tokyo U.
)
,
Robert C. Myers
(
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,
Rowan M. Thomson
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- JHEP 02 (2007) 016
•
e-Print:
- hep-th/0611099
•
DOI:
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Black hole in a uniform magnetic field

Robert M. Wald
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- Maryland U.
)

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STATIONARY ELECTROMAGNETIC FIELDS AROUND BLACK HOLES. 3. GENERAL SOLUTIONS AND THE FIELDS OF CURRENT LOOPS NEAR THE REISSNER-NORDSTROM BLACK HOLE

J. Bicak
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,
L. Dvorak
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- hep-th/9806017
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DOI:
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Can extreme black holes have (long) Abelian Higgs hair?

A. Chamblin
(
- Santa Barbara, KITP and
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)
,
J.M.A. Ashbourn-Chamblin
(
- Oxford U.
)
,
R. Emparan
(
- UC, Santa Barbara
)
,
A. Sornborger
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- Cambridge U.
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e-Print:
- gr-qc/9706004
•
DOI:
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Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity

Peter Breitenlohner
(
- MIT
)
,
Daniel Z. Freedman
(
- MIT
)

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DOI:
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The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
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e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

Anti de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

AdS / CFT correspondence and symmetry breaking

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•
e-Print:
- hep-th/9905104
•
DOI:
- 10.1016/S0550-3213(99)00387-9

Superconductivity for Particular Theorists

Steven Weinberg
(
- Texas U.
)

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•
DOI:
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