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The Odd Fermion

Daniel S. Freed, Michael J. Hopkins, Constantin Teleman

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?

The Odd Fermion

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?
Paper Structure (2 sections, 5 equations, 2 figures)

This paper contains 2 sections, 5 equations, 2 figures.

Table of Contents

  1. Quantum mechanics of $N$ fermions
  2. $N$ fermions as a boundary topological field theory

Figures (2)

  • Figure 1: The $\textnormal{C}\ell^{{\mathbb C}}_1$-module $M$
  • Figure 2: The twisted dimension of $M$

Theorems & Definitions (6)

  • Remark 1
  • Example 1: $N=1$
  • Remark 2
  • Remark 3
  • Remark 4
  • Remark 5