Topology, Quantum Gravity and Particle Physics
Andrew Toon (Singapore Institute of Management, OUDP, Math Dept.)

TL;DR
This paper explores the interpretation of quantum gravity as a topological field theory, emphasizing the importance of certain constraints and their implications for coupling gauge and matter fields across different spacetime dimensions.
Contribution
It introduces a framework where quantum gravity is viewed as a topological field theory, highlighting the role of specific constraints in coupling matter and gauge fields in various dimensions.
Findings
Quantum gravity can be interpreted as a topological field theory under certain measure constraints.
Coupling of gauge and matter fields to gravity depends on spacetime dimensionality.
Potential models relevant to our universe are discussed.
Abstract
It is argued that quantum gravity has an interpretation as a topological field theory provided a certain constraint from the path intergral measure is respected. The constraint forces us to couple gauge and matter fields to gravity for space - time dimensions different from 3. We then discuss possible models which may be relevant to our universe.
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