scholarly journals Higher Derivative Corrections to Black Hole Thermodynamics from Supersymmetric Matrix Quantum Mechanics

2009 ◽  
Vol 102 (19) ◽  
Author(s):  
Masanori Hanada ◽  
Yoshifumi Hyakutake ◽  
Jun Nishimura ◽  
Shingo Takeuchi
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Black Hole Thermodynamics ◽  
Higher Derivative ◽  
Matrix Quantum

scholarly journals Prospecting black hole thermodynamics with fractional quantum mechanics

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
S. Jalalzadeh ◽  
F. Rodrigues da Silva ◽  
P. V. Moniz
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Main Tool ◽  
Acta Math ◽  
Black Hole Thermodynamics ◽  
Point Of View ◽  
Black Hole Mass ◽  
Fractional Quantum ◽  
C 73 ◽  
Fractional Parameter

AbstractThis paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a space-fractional derivative (Riesz in Acta Math 81:1, 1949) as our main tool. Moreover, we restrict our analysis to the case of a Schwarzschild configuration. From a subsequently modified Wheeler–DeWitt equation, we retrieve the corresponding expressions for specific observables. Namely, the black hole mass spectrum, M, its temperature T, and entropy, S. We find that these bear consequential alterations conveyed through a fractional parameter, $$\alpha $$ α . In particular, the standard results are recovered in the specific limit $$\alpha =2$$ α = 2 . Furthermore, we elaborate how generalizations of the entropy-area relation suggested by Tsallis and Cirto (Eur Phys J C 73:2487, 2013) and Barrow (Phys Lett B 808:135643, 2020) acquire a complementary interpretation in terms of a fractional point of view. A thorough discussion of our results is presented.

scholarly journals Duality and supersymmetry constraints on the weak gravity conjecture

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Gregory J. Loges ◽  
Toshifumi Noumi ◽  
Gary Shiu
Keyword(s):  
Black Hole ◽  
Scattering Amplitudes ◽  
Energy Condition ◽  
Null Energy Condition ◽  
Black Hole Thermodynamics ◽  
Simple Condition ◽  
Mass Ratio ◽  
Higher Derivative ◽  
Bps States ◽  
Weak Gravity

Abstract Positivity bounds coming from consistency of UV scattering amplitudes are not always sufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude those regions of parameter space which are naïvely in conflict with the predictions of the weak gravity conjecture. In this paper we explore the consequences of imposing additional symmetries inherited from the UV theory on higher-derivative operators for Einstein-Maxwell-dilaton-axion theory. Using black hole thermodynamics, for a preserved SL(2, ℝ) symmetry we find that the weak gravity conjecture then does follow from positivity bounds. For a preserved O(d, d; ℝ) symmetry we find a simple condition on the two Wilson coefficients which ensures the positivity of corrections to the charge-to-mass ratio and that follows from the null energy condition alone. We find that imposing supersymmetry on top of either of these symmetries gives corrections which vanish identically, as expected for BPS states.

scholarly journals BLACK HOLE THERMODYNAMICS FROM CALCULATIONS IN STRONGLY COUPLED GAUGE THEORY

2001 ◽  
Vol 16 (05) ◽  
pp. 856-865 ◽  
Author(s):  
DANIEL KABAT ◽  
GILAD LIFSCHYTZ ◽  
DAVID LOWE
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Density Matrix ◽  
Finite Temperature ◽  
Approximation Scheme ◽  
Black Hole Thermodynamics ◽  
Extremal Black Hole ◽  
Strongly Coupled ◽  
Large N

We develop an approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large-N limit. The entropy of the quantum mechanics calculated using this approximation agrees well with the Bekenstein-Hawking entropy of a ten-dimensional non-extremal black hole with 0-brane charge. This result is in accord with the duality conjectured by Itzhaki, Maldacena, Sonnenschein and Yankielowicz. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly-coupled quantum mechanics.

scholarly journals Holography from the first law of thermodynamics

2021 ◽  
Author(s):  
Minseong Kim
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Black Hole Thermodynamics ◽  
Many Worlds ◽  
First Law Of Thermodynamics ◽  
Entropic Gravity ◽  
Many Worlds Interpretation ◽  
The Many ◽  
Dynamic Description

This paper exploits well-known connections between quantum mechanics and thermodynamics. What happens if we assume that the first law of thermodynamics applies generally, inspired from thermodynamic and entropic gravity approaches and black hole thermodynamics? The conjecture is that quantum mechanics provides a complete dynamic description of thermodynamics that the first law of thermodynamics seems to call for, giving us a theory of holographic gravity. Some connections to the many-worlds interpretation are noted.

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