scholarly journals 6d superconformal Cardy formulas

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
June Nahmgoong
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Superconformal Index ◽  
Angular Momenta

Abstract We study the superconformal index of 6d SCFTs from their ’t Hooft anomalies. In the Cardy limit where the angular momenta on S5 are large, we show that the leading free energy, as well as a few subleading corrections, can be computed from the 6d anomaly polynomials. Our large N free energy accounts for the entropy of supersymmetric black holes in dual AdS7.

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 M2-branes and AdS/CFT: A review

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Kazuo Hosomichi
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Superconformal Index ◽  
Charged Black Holes ◽  
Large N

Abstract We briefly review some of the important developments in the last decade in the theory of multiple M2-branes and $\text{AdS}_4/\text{CFT}_3$ correspondence. Taking the examples of the superconformal index, free energy on $S^3$, and entropy of charged black holes, we illustrate how the large-$N$ limit was studied and the correspondence was checked.

scholarly journals The 5d superconformal index at large N and black holes

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
P. Marcos Crichigno ◽  
Dharmesh Jain
Keyword(s):  
Black Holes ◽  
Partition Function ◽  
Simple Relation ◽  
Superconformal Field Theories ◽  
Superconformal Index ◽  
Angular Momenta ◽  
Weakly Coupled ◽  
Large N ◽  
Type Iib String Theory ◽  
Cardy Formula

Abstract We study the large N limit of the superconformal index of a large class of 5d $$ \mathcal{N} $$ N = 1 superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is valid in an “extended” regime in which fugacities are finite and N is large. For theories with weakly coupled gravity duals we conjecture this large N Cardy formula universally accounts for the microscopic entropy of spinning black holes in AdS6. We check this explicitly for known black hole solutions in massive type IIA and type IIB string theory, carrying two angular momenta and one electric charge, and predict the entropy of black holes carrying multiple electric charges, yet to be constructed. We also discuss large N properties of the $$ {S}_b^3\times {\Sigma}_{\mathfrak{g}} $$ S b 3 × Σ g partition function, extending previous results to theories with type IIB duals.

scholarly journals Self-Regular Black Holes Quantized by means of an Analogue to Hydrogen Atoms

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Chang Liu ◽  
Yan-Gang Miao ◽  
Yu-Mei Wu ◽  
Yu-Hao Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Mass Density ◽  
Hydrogen Atoms ◽  
Quantum Black Hole ◽  
Extreme Black Hole ◽  
Angular Momenta ◽  
Probability Densities ◽  
Hoop Conjecture ◽  
Hole Model

We suggest a quantum black hole model that is based on an analogue to hydrogen atoms. A self-regular Schwarzschild-AdS black hole is investigated, where the mass density of the extreme black hole is given by the probability density of the ground state of hydrogen atoms and the mass densities of nonextreme black holes are given by the probability densities of excited states with no angular momenta. Such an analogue is inclined to adopt quantization of black hole horizons. In this way, the total mass of black holes is quantized. Furthermore, the quantum hoop conjecture and the Correspondence Principle are discussed.

Dyonic and Magnetic Black Holes with Rational Nonlinear Electrodynamics

2020 ◽  
Author(s):  
Sergey Kruglov
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Free Energy ◽  
Phase Transitions ◽  
Helmholtz Free Energy ◽  
Magnetic Charge ◽  
The Self ◽  
Nonlinear Electrodynamics ◽  
Dual Case

The principles of causality and unitarity are studied within rational nonlinear electrodynamics proposed earlier. We investigate dyonic and magnetized black holes and show that in the self-dual case, when the electric charge equals the magnetic charge, corrections to Coulomb's law and Reissner-Nordstrom solutions are absent. In the case of the magnetic black hole, the Hawking temperature, the heat capacity and the Helmholtz free energy are calculated. It is shown that there are second-order phase transitions and it was demonstrated that at some range of parameters the black holes are stable.

scholarly journals Thermodynamics of Dyonic NUT Charged Black Holes with entropy as Noether charge

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Niloofar Abbasvandi ◽  
Masoumeh Tavakoli ◽  
Robert B. Mann
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Free Energy ◽  
Phase Behaviour ◽  
Charged Black Holes ◽  
Black Hole Spacetimes ◽  
Horizon Entropy ◽  
Transition Structures ◽  
Extremal Black Holes

Abstract We investigate the thermodynamic behaviour of Lorentzian Dyonic Taub-NUT Black Hole spacetimes. We consider two possibilities in their description: one in which their entropy is interpreted to be one quarter of the horizon area (the horizon entropy), and another in which the Misner string also contributes to the entropy (the Noether charge entropy). We find that there can be as many as three extremal black holes (or as few as zero) depending on the choice of parameters, and that the dependence of the free energy on temperature — and the resultant phase behaviour — depends very much on which of these situations holds. Some of the phase behaviour we observe holds regardless of which interpretation of the entropy holds. However another class of phase transition structures occurs only if the Noether charge interpretation of the entropy is adopted.

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