Die u:cris Detailansicht:
Twisted Fock representations of noncommutative Kähler manifolds
- Autor(en)
- Akifumi Sako, Hiroshi Umetsu
- Abstrakt
We introduce twisted Fock representations of noncommutative Kähler manifolds and give their explicit expressions. The twisted Fock representation is a representation of the Heisenberg like algebra whose states are constructed by applying creation operators to a vacuum state. "Twisted" means that creation operators are not Hermitian conjugate of annihilation operators in this representation. In deformation quantization of Kähler manifolds with separation of variables formulated by Karabegov, local complex coordinates and partial derivatives of the Kähler potential with respect to coordinates satisfy the commutation relations between the creation and annihilation operators. Based on these relations, we construct the twisted Fock representation of noncommutative Kähler manifolds and give a dictionary to translate between the twisted Fock representations and functions on noncommutative Kähler manifolds concretely.
- Organisation(en)
- Mathematische Physik
- Externe Organisation(en)
- Tokyo University of Science, Universität Wien, National Institute of Technology, Ishikawa College
- Journal
- Journal of Mathematical Physics
- Band
- 57
- Anzahl der Seiten
- 20
- ISSN
- 0022-2488
- DOI
- https://doi.org/10.1063/1.4961930
- Publikationsdatum
- 09-2016
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103036 Theoretische Physik, 103019 Mathematische Physik
- Schlagwörter
- ASJC Scopus Sachgebiete
- Statistical and Nonlinear Physics, Mathematical Physics
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/0832f752-e5c5-455a-aef2-67892340b9a0