Quasi-normal Modes Prefer Supersymmetry? Yi Ling ( 凌 意） ITP, Chinese Academy of Sciences Dec.26, 2003 Y. Ling and H. Zhang, gr-qc/ , Phys.Rev.D101501®

Quasi-normal Modes Prefer Supersymmetry? Statistical entropy of black holes from loop quantum gravity  Quantum geometry of spacetime  Counting the microstates of black holes Fixing the Immirzi parameter by quasinormal modes of black holes  Asymptotical behavior of quasinormal mode spectrum  Bohr’s correspondence principle Loop quantization of N=1 supergravity

Ashtekar-Sen Variables Ashtekar-Sen variables a: SU(2) index

Discreteness of Quantum Geometry Microscopic version of space

Spin Networks Spin networks j 1 j 2 j 3 v 1

Discreteness of Quantum Geometry Area spectrum A free parameter j Immirzi parameter

Statistical Entropy of Black Holes Bekenstein-Hawking entropy

The most probable distribution The area of discrete horizon Discrete Horizons From Quantum Geometry

Counting the Number of Microstates of Quantum Gravity The entropy of discrete horizon Statistical principle : for su(2)

Fixing the Immirzi Parameter Quasi-normal mode spectrum Compact system: normal modes Open system: quasi-normal modes

Fixing the Immirzi Parameter Quasinormal modes of Schwarzschild black holes

Fixing the Immirzi Parameter Asymptotical behavior of quasinormal modes Bohr’s correspondence principle

Fixing the Immirzi Parameter Quantum GR

Loop quantization of N=1 supergravity Area spectrum in N=1 supergravity

Loop quantization of N=1 supergravity Remarks

Loop quantization of N=1 supergravity

Thank You