The Odd Fermion
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
TL;DR
This paper explores whether having an odd number of quantum mechanical fermions is consistent within the framework of topological field theory, using a geometric approach.
Contribution
It introduces a geometric method to analyze the consistency of odd numbers of fermions in quantum mechanics.
Findings
Odd number of fermions can be consistent in topological field theory
Provides a geometric perspective on fermionic quantum systems
Addresses a fundamental question in quantum field theory
Abstract
In this short note we use the geometric approach to (topological) field theory to address the question: Does an odd number of quantum mechanical fermions make sense?
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Taxonomy
TopicsRelativity and Gravitational Theory · Quantum Mechanics and Applications · Algebraic and Geometric Analysis