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Seminars

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  • Title:Berry Curvature and Riemann Curvature in Kinematic Space with Spherical Entangling Surface
  • Start Date/Time:2020-04-30 / 12:30
  • End Date/Time :2020-04-30 / 13:30
    • Speaker:Dr. Chen-Te Ma (South China Normal U. / U. of Cape Town)
    • Place:Online
    • Host:Prof. Chong-Sun Chu (NTHU)
    • Abstract:We discover the connection between the Berry curvature and the Riemann curvature tensor in any kinematic space of minimal surfaces anchored on spherical entangling surfaces. This new holographic principle establishes the Riemann geometry in kinematic space of arbitrary dimensions from the holonomy of modular Hamiltonian, which in the higher dimensions is specified by a pair of time-like separated points as in CFT_1 and CFT_2. The Berry curvature that we constructed also shares the same property of the Riemann curvature for all geometry: internal symmetry; skew symmetry; first Bianchi identity. We derive the algebra of the modular Hamiltonian and its deformation, the latter of which can provide the maximal modular chaos as the modular scrambling modes. The algebra also dictates the parallel transport, which leads to the Berry curvature exactly matching to the Riemann curvature tensor. Finally, we compare CFT_1 to higher dimensional CFTs and show the difference from the OPE block.

      [Registration for Webex Online Seminar]
      If you would like to attend this Webex seminar held online, please register for it below by 10:00 AM Apr. 29th (Wednesday morning). NCTS will email you its password required for the entry. Late registration will not be accepted.
      Webex meeting number: 573 061 143
      Webex meeting link: https://meetingsapac3.webex.com/meetingsapac3-tc/j.php?MTID=m4f0b258c1e2c79640e5cfa3f081d7e48
       
      *Kindly note that lunchboxes will not be provided in order to prevent the potential spread of COVID-19. 

    • Detailed contents: 
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