Eguchi–Hanson solitons in odd dimensions

Clarkson, R.; Mann, Robert B.

doi:10.1088/0264-9381/23/5/005

Cited by 40 publications

(70 citation statements)

References 37 publications

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“…In a T-dual picture, the different excitations correspond to different arrangements of k NS5-branes along the dualχ-cycle. With the anti-periodic boundary condition, the localized states are tachyonic and a condensation of the tachyonic modes leads to the decay of geometry into the regularized geometry (4.10) called as the Eguchi-Hanson soliton [10,11]. In the viewpoint of the dual gauge theory, the localized tachyon condensation is realized as the transition between different vacua.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…This 15 For k = 2 the cases with the periodic and anti-periodic boundary conditions lead to the identical result. 16 The Casimir energy in this case was already computed in [10,11] by following the general method of [26].…”

Section: Just Above the Critical Temperaturesmentioning

confidence: 99%

“…There is no geometry for r < a, and this region may be replaced by the tachyon state or the nothing state in the sense of [35]. The conserved mass of the deformed geometry was computed in [10,11] as…”

Section: Localized Tachyon Condensationmentioning

confidence: 99%

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Phase transitions of largeNorbifold gauge theories

Hikida¹

2006

J. High Energy Phys.

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We study the phase structures of N = 4 U (N ) super Yang-Mills theories on R × S 3 /Z k with large N . The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S 3 /Z k , and for the fermions the periodic and the anti-periodic boundary conditions can be assigned along the cycle. We compute the partition functions of the orbifold theories and observe that phase transitions occur even in the zero 't Hooft coupling limit. With the periodic boundary condition, the vacua of the gauge theory are dual to various arrangements of k NS5-branes. With the anti-periodic boundary condition, transitions between the vacua are dual to localized tachyon condensations. In particular, the mass of a deformed geometry is compared with the Casimir energy for the dual vacuum. We also obtain an index for the supersymmetric orbifold theory. *

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Just Above the Critical Temperaturesmentioning

confidence: 99%

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Phase transitions of largeNorbifold gauge theories

Hikida¹

2006

J. High Energy Phys.

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“…After we completed computations in this paper, we noticed an interesting paper [33] which discusses the analogous scenario of the closed string tachyon condensation via the AdS/CFT correspondence in a different model [34](see also [35]). …”

Section: Introductionmentioning

confidence: 99%

AdS bubbles, entropy and closed string tachyons

Nishioka

Takayanagi

2007

J. High Energy Phys.

203

309

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We study the conjectured connection between AdS bubbles (AdS solitons) and closed string tachyon condensations. We confirm that the entanglement entropy, which measures the degree of freedom, decreases under the tachyon condensation. The entropies in supergravity and free Yang-Mills agree with each other remarkably. Next we consider the tachyon condensation on the AdS twisted circle and argue that its endpoint is given by the twisted AdS bubble, defined by the double Wick rotation of rotating black 3-brane solutions. We calculated the Casimir energy and entropy and checked the agreements between the gauge and gravity results. Finally we show an infinite boost of a null linear dilaton theory with a tachyon wall (or bubble), leads to a solvable time-dependent background with a bulk tachyon condensation. This is the simplest example of spacetimes with null boundaries in string theory.

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“…to avoid a conical singularity [42]. The d-dimensional Power-Maxwell-scalar action with negative cosmological constant is…”

Section: Holographic Duality In the Ads Soliton Backgroundmentioning

confidence: 99%

The holographic superconductors in higher-dimensional AdS soliton

Lee

2012

Eur. Phys. J. C

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We explore the behavior of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical chemical potentials increase linearly as a total dimension d grows up. We find that the critical exponent for condensation operator is obtained as 1/2 independently of d, and the charge density is linearly related to the chemical potential near the critical point. Furthermore, we consider a slightly generalized setup the EinsteinPower-Maxwell field theory, and find that the critical exponent for condensation operator is given as 1/(4 − 2n) in terms of a power parameter n of the PowerMaxwell field, and the charge density is proportional to the chemical potential to the power of 1/(2 − n).

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Eguchi–Hanson solitons in odd dimensions

Cited by 40 publications

References 37 publications

Phase transitions of largeNorbifold gauge theories

Phase transitions of largeNorbifold gauge theories

AdS bubbles, entropy and closed string tachyons

The holographic superconductors in higher-dimensional AdS soliton

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