On-Shell Action for Bubbling Geometries(Particles and Fields)

スポンサーリンク

概要

• 論文の詳細を見る

• We study the half-BPS sector of the AdS/CFT correspondence. In the full sector of this correspondence, on-shell actions in type IIB supergravity have played crucial roles, for example in the GKP-Witten relation. We derive, therefore, an on-shell action that reproduces a class of half-BPS solutions found by Lin, Lunin and Maldacena. These solutions describe the bubbling geometries in the supergravity. We show that this on-shell action for the LLM solutions is dual to the classical limit of an observable of the N free fermions in a harmonic oscillator potential in 1+1 dimensions. The observable consists of three parts: the expectation value of the total energy, matrix elements of the momentum squared, and matrix elements of the position squared. Our results suggest that there exists a holographic correspondence on a two-dimensional surface in the bubbling geometries.

• 理論物理学刊行会の論文
• 2007-08-25

著者

• Sato Matsuo

  Department of Mechanical Engineering Hachinohe Institute of Technology

• Sato Matsuo

  Department Of Physics Kyoto University

• SATO Matsuo

  Department of Physics, Kyoto University

関連論文

• Reflective Characteristics of Micro-Groove on Thin Film Prepared by Ruling Engine (情報ディスプレイ--The 6th Asian Symposium on Information Display & Exhibition)
• Reflective Characteristics of Micro-Groove on Thin Film Prepared by Ruling Engine
• Born-Infeld Action from Supergravity
• World-Sheets from N=4 Super Yang-Mills(Particles and Fields)
• On-Shell Action for Bubbling Geometries(Particles and Fields)

スポンサーリンク