2012 Fiscal Year Final Research Report

Analyses of black hole thermodynamics by effective theories with conformal invariance

Research Project

Project/Area Number	21740197
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Single-year Grants
Research Field	Particle/Nuclear/Cosmic ray/Astro physics
Research Institution	Kushiro National College of Technology
Principal Investigator	UMETSU Hiroshi 釧路工業高等専門学校, 一般教育科, 准教授 (90393420)
Project Period (FY)	2009 – 2012
Keywords	ブラックホール / 量子重力 / 共形場理論 / 非可換空間
Research Abstract	We studied the Hawking radiation by using effective theories which appear near the event horizon. We gave explicit expressions for noncommutative products on CPN and CHN by deformation quantization in order to investigate effects of noncommutativities of space-time. Fock representations for these noncommutative products were constructed and the algebraic structure of functions under the products was explicitly clarified. These noncommutative spaces include the fuzzy CPN which was given by using matrix models as a specific case.

(3 results)