Conformal Quantum Mechanics in Two Black Hole Moduli Space
Kenji Sakamoto, Kiyoshi Shiraishi (Yamaguchi University)
TL;DR
This paper explores the quantum mechanics of two maximally charged dilaton black holes, revealing conformal symmetry and analyzing bound states within their moduli space, similar to the DFF model.
Contribution
It introduces a conformal quantum mechanical model for two black holes and analyzes its symmetry and bound states, extending understanding of black hole moduli space dynamics.
Findings
The system exhibits $SL(2,R)$ conformal symmetry.
Quantum mechanics resembles the DFF model.
Bound states are discussed within this framework.
Abstract
We discuss quantum mechanics in the moduli space consisting of two maximally charged dilaton black holes. The quantum mechanics of the two black hole system is similar to the one of DFF model, and this system has the conformal symmetry. Also, we discuss the bound states in this system.
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