A new spectral triple over a space of connections
Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest
TL;DR
This paper introduces a novel semifinite spectral triple on holonomy loop algebras, offering an alternative framework linked to quantum gravity, expanding the mathematical tools available for quantum geometric analysis.
Contribution
It presents a new spectral triple construction over a space of connections, providing an alternative to previous models in quantum gravity research.
Findings
New spectral triple construction over holonomy loops
Canonical association with quantum gravity
Alternative to previous spectral triple models
Abstract
A new construction of a semifinite spectral triple on an algebra of holonomy loops is presented. The construction is canonically associated to quantum gravity and is an alternative version of the spectral triple presented in hep-th/08021784.
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