Oxidation, reduction and semi-classical limit for quantum matrix geometries

Autor(en)

Laura O. Felder, Harold C. Steinacker

Abstrakt

Matrix configurations define noncommutative spaces endowed with extra structure including a generalized Laplace operator, and hence a metric structure. Made dynamical via matrix models, they describe rich physical systems including noncommutative gauge theory and emergent gravity. Refining the construction in [25], we construct a semi-classical limit through an immersed submanifold of complex projective space based on quasi-coherent states. We observe the phenomenon of oxidation, where the resulting semi-classical space acquires spurious extra dimensions. We propose to remove this artifact by passing to a leaf of a carefully chosen foliation, which allows to extract the geometrical content of the noncommutative spaces. This is demonstrated numerically via multiple examples.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Universität Wien

Journal

Journal of Geometry and Physics

Band

199

Anzahl der Seiten

15

ISSN

0393-0440

DOI

https://doi.org/10.48550/arXiv.2306.10771

Publikationsdatum

05-2024

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103028 Relativitätstheorie, 103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Mathematical Physics, Allgemeine Physik und Astronomie, Geometry and Topology

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/568f9ad5-2c10-4a11-8520-f4ced5cfc0ea