Moduli spaces of discrete gravity: I. A few points

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• 作者：Holfter ; Alexander ; Paschke ; Mario
• 关键词：81S40 ; 81R05 ; 81R60 ; 83C45 ; 83C65 ; 83C80 ; Quantum gravity ; Finite spectral triples ; Quantization ; Moduli spaces ; Spectral invariant measures ; Spectral action
• 刊名：Journal of Geometry and Physics
• 出版年：2003
• 期刊代码：29_03930440
• 类别：ph
• 出版时间：August, 2003
• 卷：47
• 期：2-3
• 页码：101-127
• 文件大小：172 K

摘要

Spectral triples describe and generalize Riemannian spin geometries by converting the geometrical information into algebraic data, which consist of an algebra A, a Hilbert space H carrying a representation of A and the Dirac operator D (a selfadjoint operator acting on H). The gravitational action is described by the trace of a suitable function of D.