Published August 5, 2016 | Version v1
Journal article

Kähler structure in the commutative limit of matrix geometry

  • 1. Graduate School of Pure and Applied Sciences, University of Tsukuba,Tsukuba, Ibaraki 305-8571 (Japan)
  • 2. Center for Integrated Research in Fundamental Science and Engineering (CiRfSE),University of Tsukuba,Tsukuba, Ibaraki 305-8571 (Japan)

Description

We consider the commutative limit of matrix geometry described by a large-N sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a Kähler structure. We find an explicit relation between the Kähler structure and the matrix configurations which define the matrix geometry. We also discuss a relation between the matrix configurations and those obtained from the geometric quantization.

Availability note (English)

Available from http://dx.doi.org/10.1007/JHEP08(2016)042; Available from http://repo.scoap3.org/record/16706

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2016
Journal Issue
08
Journal Page Range
p. 42
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48056385
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CONFIGURATION; GEOMETRY; QUANTIZATION
Descriptors DEC
MATHEMATICS

Optional Information

Copyright
Copyright (c) OPEN ACCESS, © The Authors
Notes
PUBLISHER-ID: JHEP08(2016)042; ARXIV:1603.09146; OAI: oai:repo.scoap3.org:16706
Funding organization
SCOAP3, CERN, Geneva (Switzerland)