## Holography and Entanglement Entropy

Dates: | Jan 10, 4 pm, Main Seminar Room, 6th floor, ICRR Kashiwa Campus of the University of Tokyo |

Speaker: | Tadashi Takayanagi (Department of Physics, Kyoto University) |

Title: | Holography and Entanglement Entropy |

Abstract: | The entanglement entropy has been very important in various subjects such as the quantum information theory, condensed matter physics and quantum gravity. Especially, for more than twenty years, this quantity has been studied by many people in order to obtain a quantum mechanical interpretation of the gravitational entropy such as the black hole entropy. We present a clear solution to this long-standing problem in quantum gravity by applying the idea of holography, especially the AdS/CFT correspondence. We find a holographic formula which computes the entanglement entropy in the dual quantum field theories. We can check that it correctly reproduces the field theoretic results in many examples. As a particular example, we can show that the entanglement entropy can be interpreted as the black hole entropy. We also find that it becomes an interesting order parameter of the confinement/deconfinement transition. |

Our original refs: | hep-th/0603001, hep-th/0605073 |

Our later progresses: | hep-th/0608213, hep-th/0611035, arXiv:0704.3719,arXiv:0705.0016, arXiv:0710.2956, arXiv:0712.1850 |