Analyses of black hole thermodynamics by effective theories with conformal invariance

• 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
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: ブラックホール / 量子重力 / 共形場理論 / 非可換空間 / 行列模型

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.

Research Products

• [Journal Article] Explicit Formulas For Noncommutative Deformations of CP N and CHN (2012)
  • Author(s): 佐古彰史、鈴木俊哉、梅津裕志
  • Journal Title: Journal of Mathematical Physics Volume: 53 Pages: 73502-16
  • Peer Reviewed
• [Journal Article] Explicit formulas for noncommutative deformations of CPN and CHN (2012)
  • Author(s): Akifumi Sako
  • Journal Title: Journal of Mathematical Physics Volume: Volume 53 Issue: 7
  • DOI: 10.1063/1.4731236
  • Peer Reviewed
• [Presentation] CPNとCHNの変形量子化 (2012)
  • Author(s): 佐古彰史
  • Organizer: 日本数学会2012年度年会
  • Place of Presentation: 東京理科大学
  • Year and Date: 2012-03-28
• [Presentation] Noncommutative Deformations of CPN and CHN (2012)
  • Author(s): 鈴木俊哉
  • Organizer: KEK研究会2012
  • Place of Presentation: 高エネルギー加速器研究機構
  • Year and Date: 2012-03-06
• [Presentation] Explicit Formulas For Noncommutative Deformations of CPN and CHN (2012)
  • Author(s): 梅津裕志
  • Organizer: 7th Mathematical Physics Meeting: Summer School and Conference in ModernMathematical Physics
  • Place of Presentation: Institute of Physics, University of Belgrade
• [Presentation] Generalized Conformal Symmetry and Recovery of SO(8)in Multiple M2 and D2 Branes (2009)
  • Author(s): 梅津裕志
  • Organizer: XVI International Congress on Mathematical Physics
  • Place of Presentation: Clarion Congress Hotel Prague, (プラハ、チェコ共和国)
  • Year and Date: 2009-08-03
• [Presentation] Generalized Conformal Symmetry andRecovery of SO(8) in Multiple M2 and D2Branes (2009)
  • Author(s): 梅津裕志
  • Organizer: XVI International Congress on Mathematical Physics
  • Place of Presentation: プラハClarion Congress Hotel Prague
• [Presentation] Explicit formulas for noncommutative deformations of CPN and CHN
  • Author(s): Hiroshi Umetsu
  • Organizer: 7th MATHEMATICAL PHYSICS MEETING: Summer School and Conference on Modern Mathematical Physics,
  • Place of Presentation: Institute of Physics, University of Belgrade, Belgrade, Serbia
• [Presentation] Karabegov's Deformation Quantization of Kahler Manifold
  • Author(s): 鈴木俊哉
  • Organizer: ＫＥＫ理論研究会2013
  • Place of Presentation: 高エネルギー加速器研究機構