scholarly journals Analysis of higher spin black holes with spin-4 chemical potential

2014 ◽  
Vol 2014 (7) ◽  
Author(s):  
Matteo Beccaria ◽  
Guido Macorini
Keyword(s):  
Black Holes ◽  
Chemical Potential ◽  
Higher Spin

scholarly journals A 4d $$ \mathcal{N} $$ = 1 Cardy Formula

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Joonho Kim ◽  
Seok Kim ◽  
Jaewon Song
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Asymptotic Behavior ◽  
High Temperature ◽  
Gauge Theory ◽  
Chemical Potential ◽  
Temperature Limit ◽  
Superconformal Index ◽  
High Temperature Limit ◽  
Cardy Formula

Abstract We study the asymptotic behavior of the (modified) superconformal index for 4d $$ \mathcal{N} $$ N = 1 gauge theory. By considering complexified chemical potential, we find that the ‘high-temperature limit’ of the index can be written in terms of the conformal anomalies 3c − 2a. We also find macroscopic entropy from our asymptotic free energy when the Hofman-Maldacena bound 1/2 < a/c < 3/2 for the interacting SCFT is satisfied. We study $$ \mathcal{N} $$ N = 1 theories that are dual to AdS5 × Yp,p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.

scholarly journals Higher spin black holes from CFT

2012 ◽  
Vol 2012 (4) ◽  
Author(s):  
Matthias R. Gaberdiel ◽  
Thomas Hartman ◽  
Kewang Jin
Keyword(s):  
Black Holes ◽  
Higher Spin

scholarly journals Deforming charged black holes with dipolar differential rotation boundary

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Tong-Tong Hu ◽  
Shuo Sun ◽  
Hong-Bo Li ◽  
Yong-Qiang Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Chemical Potential ◽  
Dimensional Space ◽  
Quasinormal Modes ◽  
Fixed Temperature ◽  
First Case ◽  
Ads Black Holes ◽  
Horizon Geometry ◽  
Black Hole Solutions

Abstract Motivated by the recent studies of the novel asymptotically global $$\hbox {AdS}_4$$AdS4 black hole with deformed horizon, we consider the action of Einstein–Maxwell gravity in AdS spacetime and construct the charged deforming AdS black holes with differential boundary. In contrast to deforming black hole without charge, there exists at least one value of horizon for an arbitrary temperature. The extremum of temperature is determined by charge q and divides the range of temperature into several parts. Moreover, we use an isometric embedding in the three-dimensional space to investigate the horizon geometry. The entropy and quasinormal modes of deforming charged AdS black hole are also studied in this paper. Due to the existence of charge q, the phase diagram of entropy is more complicated. We consider two cases of solutions: (1) fixing the chemical potential $$\mu $$μ; (2) changing the value of $$\mu $$μ according to the values of horizon radius and charge. In the first case, it is interesting to find there exist two families of black hole solutions with different horizon radii for a fixed temperature, but these two black holes have same horizon geometry and entropy. The second case ensures that deforming charged AdS black hole solutions can reduce to standard RN–AdS black holes.

scholarly journals Holographic s-wave superconductors with Horndeski correction

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Jun-Wang Lu ◽  
Ya-Bo Wu ◽  
Li-Gong Mi ◽  
Hao Liao ◽  
Bao-Ping Dong
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Critical Temperature ◽  
Chemical Potential ◽  
Low Frequency ◽  
S Wave ◽  
Quasiparticle Excitation ◽  
Numerical Result ◽  
Ads Black Holes ◽  
Numerical And Analytical Methods

Abstract Via both numerical and analytical methods, we build the holographic s-wave insulator/superconductor model in the five-dimensional AdS soliton with the Horndeski correction in the probe limit and study the effects of Horndeski parameter k on the superconductor model. For the fixed mass squared of the scalar field ($$m^2$$m2), the critical chemical potential $$\mu _c$$μc increases with the larger Horndeski parameter k, which means that the increasing Horndeski correction hinders the superconductor phase transition. Meanwhile, above the critical chemical potential, the obvious pole arises in the low frequency of the imaginal part of conductivity, which signs the appearance of superconducting state. What is more, the energy of quasiparticle excitation decreases with the larger Horndeski correction. Furthermore, the critical exponent of the condensate (charge density) is $$\frac{1}{2}$$12 (1), which is independent of the Horndeski correction. In addition, the analytical results agree well with the numerical results. Subsequently, the conductor/superconductor model with Horndeski correction is analytically realized in the four- and five-dimensional AdS black holes. It is observed that the increasing Horndeski correction decreases the critical temperature and thus hinders the superconductor phase transition, which agrees with the numerical result in the previous works.

scholarly journals Conical defects, black holes and higher spin (super-)symmetry

2013 ◽  
Vol 2013 (6) ◽  
Author(s):  
Bin Chen ◽  
Jiang Long ◽  
Yi-Nan Wang
Keyword(s):  
Black Holes ◽  
Super Symmetry ◽  
Higher Spin

scholarly journals Higher spin gravity in 3D: Black holes, global charges and thermodynamics

2013 ◽  
Vol 726 (1-3) ◽  
pp. 444-449 ◽  
Author(s):  
Alfredo Pérez ◽  
David Tempo ◽  
Ricardo Troncoso
Keyword(s):  
Black Holes ◽  
Higher Spin Gravity ◽  
Higher Spin

scholarly journals Thermodynamics of higher spin black holes in AdS3

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Jan de Boer ◽  
Juan I. Jottar
Keyword(s):  
Black Holes ◽  
Higher Spin

scholarly journals Probing higher spin black holes from CFT

2013 ◽  
Vol 2013 (10) ◽  
Author(s):  
Matthias R. Gaberdiel ◽  
Kewang Jin ◽  
Eric Perlmutter
Keyword(s):  
Black Holes ◽  
Higher Spin

scholarly journals Higher spin black holes

2011 ◽  
Vol 2011 (5) ◽  
Author(s):  
Michael Gutperle ◽  
Per Kraus
Keyword(s):  
Black Holes ◽  
Higher Spin
Sign in / Sign up

Export Citation Format

Share Document