p-wave Holographic Superconductors and five-dimensional gauged Supergravity - INSPIRE

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p-wave Holographic Superconductors and five-dimensional gauged Supergravity

Francesco Aprile
(
- ICC, Barcelona U. and
- Barcelona U., ECM
)
,
Diego Rodriguez-Gomez
(
- Technion and
- Haifa U., Oranim
)
,
Jorge G. Russo
(
- ICC, Barcelona U. and
- Barcelona U., ECM and
- ICREA, Barcelona
)

Nov, 2010

35 pages

Published in:

JHEP 01 (2011) 056

e-Print:

1011.2172 [hep-th]

DOI:

10.1007/JHEP01(2011)056

Report number:

ICCUB-10-104

View in:

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Abstract: (arXiv)

We explore five-dimensional

{\cal N}=4

SU(2)\times U(1)

and

{\cal 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

{\cal 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

{\cal 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

{\cal N}=8

gauged supergravity Lagrangian where the two-forms have charge

q\gtrsim 1.8

.

black hole: hair
dimension: 5
field theory: conformal
temperature: Hawking
potential: chemical
dimension: 10
critical phenomena: superconductivity
free energy
conductivity
SO(6)

References(45)

Figures(16)

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Steven S. Gubser
(
- Princeton U.
)

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•
e-Print:
- 0801.2977
•
DOI:
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Sean A. Hartnoll
(
- Santa Barbara, KITP
)
,
Christopher P. Herzog
(
- Princeton U.
)
,
Gary T. Horowitz
(
- UC, Santa Barbara
)

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•
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•
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Steven S. Gubser
(
- Princeton U.
)

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•
e-Print:
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•
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•
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•
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Steven S. Gubser
(
- Princeton U.
)
,
Abhinav Nellore
(
- Princeton U.
)

- JHEP 04 (2009) 008
•
e-Print:
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•
DOI:
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•
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Sebastian Franco
(
- Santa Barbara, KITP
)
,
Antonio Garcia-Garcia
(
- Princeton U. and
- ICTP, Trieste
)
,
Diego Rodriguez-Gomez
(
- Princeton U. and
- Queen Mary, U. of London
)

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•
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•
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Francesco Aprile
(
- ICC, Barcelona U. and
- Barcelona U., ECM
)
,
Jorge G. Russo
(
- ICC, Barcelona U. and
- Barcelona U., ECM and
- ICREA, Barcelona
)

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•
e-Print:
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•
DOI:
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Francesco Aprile
(
- ICC, Barcelona U.
)
,
Sebastian Franco
(
- Santa Barbara, KITP
)
,
Diego Rodriguez-Gomez
(
- Queen Mary, U. of London
)
,
Jorge G. Russo
(
- ICC, Barcelona U. and
- ICREA, Barcelona
)

- JHEP 05 (2010) 102
•
e-Print:
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•
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Francesco Benini
(
- Princeton U.
)
,
Christopher P. Herzog
(
- Princeton U.
)
,
Rakibur Rahman
(
- Pisa, Scuola Normale Superiore
)
,
Amos Yarom
(
- Princeton U.
)

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•
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•
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Thomas Faulkner
(
- Santa Barbara, KITP
)
,
Gary T. Horowitz
(
- UC, Santa Barbara
)
,
Matthew M. Roberts
(
- UC, Santa Barbara
)

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•
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•
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Christopher P. Herzog
(
- Princeton U.
)

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•
e-Print:
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•
DOI:
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Gary T. Horowitz
(
- UC, Santa Barbara
)

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•
e-Print:
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•
DOI:
- 10.1007/978-3-642-04864-7_10

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e-Print:
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•
DOI:
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Steven S. Gubser
(
- Princeton U.
)
,
Christopher P. Herzog
(
- Princeton U.
)
,
Silviu S. Pufu
(
- Princeton U.
)
,
Tiberiu Tesileanu
(
- Princeton U.
)

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•
DOI:
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•
DOI:
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- JHEP 02 (2010) 060
•
e-Print:
- 0912.0512
•
DOI:
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Aristomenis Donos
(
- Imperial Coll., London
)
,
Jerome P. Gauntlett
(
- Imperial Coll., London
)
,
Nakwoo Kim
(
- Kyung Hee U.
)
,
Oscar Varela
(
- Potsdam, Max Planck Inst.
)

- JHEP 12 (2010) 003
•
e-Print:
- 1009.3805
•
DOI:
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Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points

Nikolay Bobev
(
- Southern California U.
)
,
Nick Halmagyi
(
- Saclay, SPhT
)
,
Krzysztof Pilch
(
- Southern California U.
)
,
Nicholas P. Warner
(
- Southern California U.
)

- Class.Quant.Grav. 27 (2010) 235013
•
e-Print:
- 1006.2546
•
DOI:
- 10.1088/0264-9381/27/23/235013

Type IIB Holographic Superfluid Flows

Daniel Arean
(
- ICTP, Trieste and
- SISSA, Trieste and
- INFN, Trieste
)
,
Matteo Bertolini
(
- ICTP, Trieste and
- SISSA, Trieste and
- INFN, Trieste
)
,
Chethan Krishnan
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Tomas Prochazka
(
- SISSA, Trieste and
- INFN, Trieste
)

- JHEP 03 (2011) 008
•
e-Print:
- 1010.5777
•
DOI:
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Flavor Superconductivity from Gauge/Gravity Duality

- JHEP 10 (2009) 067
•
e-Print:
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•
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Exploring colourful holographic superconductors

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•
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•
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- JHEP 10 (2008) 101
•
e-Print:
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•
DOI:
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Towards M2-brane Theories for Generic Toric Singularities

Sebastian Franco
(
- Princeton U. and
- Santa Barbara, KITP
)
,
Amihay Hanany
(
- Imperial Coll., London
)
,
Jaemo Park
(
- POSTECH and
- Stanford U., Phys. Dept.
)
,
Diego Rodriguez-Gomez
(
- Princeton U.
)

- JHEP 12 (2008) 110
•
e-Print:
- 0809.3237
•
DOI:
- 10.1088/1126-6708/2008/12/110

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