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Keywords
(6)
Chiral Anomaly
Gauge Theory
General Relativity
String Duality
Black Hole
chern simons
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Gravity Dual of Spatially Modulated Phase
Gravity Dual of Spatially Modulated Phase,10.1103/PhysRevD.81.044018,Physical Review D,Shin Nakamura,Hirosi Ooguri,ChangSoon Park
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Gravity Dual of Spatially Modulated Phase
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Citations: 19
)
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Shin Nakamura
,
Hirosi Ooguri
,
ChangSoon Park
We analyze an instability that may be induced by a chiralanomaly at finite densities in a stronglycoupled gauge theory. We employ the gauge/gravity duality. The effect of the
chiral anomaly
is represented by a ChernSimons (CS) term in the gravity dual and it has a tendency to induce an inhomogeneous flow of the global current, namely an inhomogeneous instability, at finite densities. From the viewpoint of general relativity, this can be a new instability of charged black holes induced by the CS term. However, as far as we have analyzed based on the supergravity, the potentially unstable modes turned out to be always barely stable. In terms of the gauge theory, the stability is protected due to the coupling between the global current and the stressenergy tensor.
Journal:
Physical Review D  PHYS REV D
, vol. 186, no. 4, pp. 528533, 2010
DOI:
10.1103/PhysRevD.81.044018
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Citation Context
(9)
...Due to the presence of a ChernSimons term, there is a more interesting kind of instability, 23 which can appear [
77
, 78]...
...We would like to point out that the near horizon geometry, when there are background electric and magnetic fields, is in fact a fibered AdS2 × R 3 , not a direct product as in [
77
, 78]...
...23 We would like to thank Hirosi Ooguri for pointing out this to us. 24 It was shown in [
77
, 78] that the near horizon analysis gives a sufficient but not necessary condition...
...The reason is that, for the ReissnerNordstr¨ case studied in [
77
, 78], there are unstable modes in the full bulk geometry that do not reduce to normalizable modes in the near horizon limit...
Dumitru Astefanesei
,
et al.
Moduli and electromagnetic black brane holography
...Such electric congurations in the presence of a curved background can become unstable, as was emphasised in work of Nakamura, Park and Ooguri [
2
]...
...Ooguri and Park [
2
, 4] has shown that in Maxwell theory with a ChernSimons coupling turned on, a constant electric eld is unstable against decay to a spatially modulated phase, in which a magnetic eld transverse to the direction of the initial electric eld is switched on. Since the conguration with nonvanishing axial chemical potential ( amounts to having a nonvanishing electric eld in the bulk, we expect that an instability similar to ...
C. A. Ballon Bayona
,
et al.
A nonhomogeneous ground state of the lowtemperature SakaiSugimoto m...
...According to [
42
] the addition of a topological term to the Maxwell action may induce such an instability and using this notation we can tune the coupling as an external parameter...
KeunYoung Kim
,
et al.
The open string membrane paradigm with external electromagnetic fields
...Back in the holographic world, familiar Abrikosov vortex lattices have been studied in superconductors in [34], while a spatially modulated phase was found to arise from the instability of bulk electric fields in 5d ChernSimons theories [
35
, 36]...
Stefano Bolognesi
,
et al.
Monopoles and holography
...(though an obvious dierence is that our critical theory eectively sees only a single spatial direction, compared to the two inplane directions in Sr3Ru2O7), and lead us to speculate whether in our case the extremal black hole phase is unstable and gives way to a new phase with reduced symmetry, as in [
35
]...
Eric D’Hoker
,
et al.
Holographic metamagnetism, quantum criticality, and crossover behavior
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Sort by:
Citations
(19)
Moduli and electromagnetic black brane holography
(
Citations: 3
)
Dumitru Astefanesei
,
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