Indian Institute of Science Education and Research (IISER), Dr Homi Bhabha Road, Pashan, Pune, Maharashtra 411008, India.
Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10/136, A-1040 Vienna, Austria.
Phys Rev Lett. 2015 Mar 20;114(11):111602. doi: 10.1103/PhysRevLett.114.111602. Epub 2015 Mar 19.
We present the analytical calculation of entanglement entropy for a class of two-dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These field theories are the putative holographic duals to theories of gravity in three-dimensional asymptotically flat spacetimes. We provide a check of our field theory answers by an analysis of geodesics. We also exploit the Chern-Simons formulation of three-dimensional gravity and adapt recent proposals of calculating entanglement entropy by Wilson lines in this context to find an independent confirmation of our results from holography.
我们给出了一类由伽利略共形代数对称性控制的二维场论的纠缠熵的解析计算,从而提供了这种精确计算的罕见例子。这些场论是三维渐近平坦时空中的引力理论的潜在全息对偶。我们通过分析测地线对我们的场论答案进行了检验。我们还利用了三维引力的 Chern-Simons 表述,并在这一背景下采用了最近提出的用 Wilson 线计算纠缠熵的方法,从全息学的角度独立验证了我们的结果。