| Summary: | 博士 === 國立中央大學 === 物理研究所 === 100 === In this thesis, we discuss the correspondence between black holes and conformal field theory. According to the holographic principle, the associated dual CFT should be one-dimension less than the spacetime of black hole, as the usual AdS$_D$/CFT$_{D-1}$ correspondence. We generalize the analysis for the Kerr to the charged black holes, in particular Reissner-Nordstr"{o}m (RN) and Kerr-Newman (KN). Like a (warped) AdS$_3$ geometry appearing in the near horizon of extremal Kerr, the similar structure also shows up in the RN black hole when it is uplifted into 5D. Thus a CFT$_2$ description is expected also for the charge parameter. We explore this sector of the duality in details. Moreover, our results also suggest that there are two natural dual descriptions for the KN black holes corresponding the the associated rotating and charge parameters. To confirm this prospect, we have explored the hidden 2D conformal symmetries in the generic non-extremal KN black hole.
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