Kerr Black Hole Worldline Action at Infinite Spin Orders
Analysis
This paper develops a worldline action for a Kerr black hole, a complex object in general relativity, by matching to a tree-level Compton amplitude. The work focuses on infinite spin orders, which is a significant advancement. The authors acknowledge the need for loop corrections, highlighting the effective theory nature of their approach. The paper's contribution lies in providing a closed-form worldline action and analyzing the role of quadratic-in-Riemann operators, particularly in the same- and opposite-helicity sectors. This work is relevant to understanding black hole dynamics and quantum gravity.
Key Takeaways
- •Develops a worldline action for Kerr black holes at infinite spin orders.
- •Matches to a tree-level Kerr Compton amplitude.
- •Analyzes the role of quadratic-in-Riemann operators in the action.
- •Discusses the same- and opposite-helicity sectors and their implications.
“The paper argues that in the same-helicity sector the $R^2$ operators have no intrinsic meaning, as they merely remove unwanted terms produced by the linear-in-Riemann operators.”