Holographic Entanglement Entropy, Fractional Quantum Hall Effect and Lifshitz-like Fixed Point

6th International Symposium on Quantum Theory and Symmetries

Takayanagi, Tadashi^1

Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan^1

关键词: Entanglement entropy;    Fixed points;    Fractional quantum Hall effects;    Quantum gravity;    Quantum information theory;    Recent progress;    Scale invariant;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012053/pdf
DOI  :  10.1088/1742-6596/462/1/012053

来源: IOP

【 摘 要 】

The entanglement entropy has been very important in various subjects such as quantum information theory, condensed matter physics, and quantum gravity. In the first half of this talk, I will give an overview of recent progresses in the holographic calculation of entanglement entropy. Next, I will apply it to string theory duals of anisotropic scale invariant theories (Lifshitz-like points), which are obtained from a string theory realization of fractional quantum Hall effect.