Deformation quantization of symmetric Kähler manifolds

3^rd International Conference on High Energy Physics

December 11-12, 2017 | Rome, Italy

Kentaro Hara

Tokyo University of Science, Japan

Scientific Tracks Abstracts: J Astrophys Aerospace Technol

Abstract :

A deformation quantization with separation of variables is one of wellknown quantizations of Kahler manifolds. Explicit expressions of the quantization for CN , CPN and CHN were known. We derive algebraic recurrence relations to obtain a deformation quantization with separation of variables for a locally symmetric Kahler manifold. CN , CPN and CHN were locally symmetric Kahler manifolds and Riemann surfaces are also locally symmetric Kahler manifolds. It is not easy to solve the recurrence relations but some are solvable. We found a deformation quantization with separation of variables for Riemann surfaces.

Biography :

Kentaro Hara has completed his Master's degree from Tokyo Metropolitan University. He is pursuing his Doctoral course at the Tokyo University of Science. He has published a paper in reputed journals like Journal of Geometry and Physics.