Structure of Multi-Anyon Wavefunctions

TL;DR

This paper analyzes the symmetries of multi-anyon wavefunctions using second quantization, constructs analogues of Slater determinants, and demonstrates that the Pauli principle does not apply to anyons.

Contribution

It introduces a second quantized framework for multi-anyon wavefunctions and constructs their analogues of Slater determinants, revealing the non-enforcement of the Pauli principle.

Findings

Symmetries of multi-anyon wavefunctions are characterized.

Analogues of Slater determinants for anyons are constructed.

The Pauli principle is shown not to be enforced for anyons.

Abstract

Symmetries of multi-anyon wavefunctions are analysed with the help of a second quantized formulation. Analogues of Slater determinants are constructed. It is shown that the Pauli principle is not enforced.