Two Non--Commutative U(1)-Gauge Laplacians in the Quantum Hyperboloid
Gustavo Amilcar Salda\~na Moncada
TL;DR
This paper characterizes the spectrum of two non-commutative U(1)-gauge Laplacians on a quantum hyperboloid, advancing understanding of spectral properties in non-commutative geometry.
Contribution
It introduces and analyzes two non-commutative gauge Laplacians on a quantum hyperboloid, providing spectral characterization.
Findings
Spectral properties of the two Laplacians are fully characterized.
The work advances understanding of non-commutative gauge theories.
Results contribute to the mathematical foundation of quantum hyperboloids.
Abstract
In this paper, we will characterize the spectrum of two non--commutative U(1)-gauge Laplacians on the upper sheet of a two--sheet quantum hyperboloid.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Noncommutative and Quantum Gravity Theories · Algebraic structures and combinatorial models