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Precision microstate counting of small black rings.
Atish Dabholkar1, Norihiro Iizuka, Ashik Iqubal
1Department of Theoretical Physics, Tata Institute of Fundamental Research, Mumbai 400 005, India.
Physical Review Letters
|April 12, 2006
Summary
We studied supersymmetric states in string theory, finding their microstate degeneracy matches macroscopic predictions. This research clarifies the absence of closed timelike curves in black hole physics.
Area of Science:
- Theoretical physics
- String theory
- Black hole physics
Background:
- Supersymmetric states with spin in five-dimensional string theories can be modeled as small black rings under strong gravitational coupling.
- A known connection links four-dimensional (4D) and five-dimensional (5D) physics.
Purpose of the Study:
- To compute the exact microstate degeneracy of small black rings.
- To verify the agreement between microscopic and macroscopic degeneracy calculations.
- To analyze the geometry of 5D small black rings and understand the origin of the Regge bound.
Main Methods:
- Utilizing the 4D-5D connection to map 5D small black rings to 4D nonspinning small black holes.
- Exact computation of microstate degeneracy for small black rings.
- Asymptotic expansion analysis.
- Qualitative analysis of the 5D small black ring geometry.
Main Results:
- The computed microstate degeneracy of small black rings precisely matches the macroscopic degeneracy to all orders in asymptotic expansion.
- The analysis qualitatively demonstrates that the Regge bound emerges from the necessity of avoiding closed timelike curves.
Conclusions:
- The study provides an exact calculation of black ring microstate degeneracy, confirming theoretical predictions.
- The geometric analysis offers insight into fundamental constraints on black hole solutions, specifically the absence of closed timelike curves.