Spin-Statistics and CPT for solitons
Karl-Henning Rehren
TL;DR
This paper investigates the statistical and symmetry properties of solitons in 2D field theories, proving key theorems and interpreting them through modular theory, despite broken symmetries.
Contribution
It establishes Spin-Statistics and CPT theorems for solitons with broken symmetry, providing a novel algebraic and modular framework.
Findings
Proven Spin-Statistics and CPT theorems for solitons
Derived twisted locality for the neutral subalgebra
Provided an algebraic interpretation via modular theory
Abstract
The statistics of soliton sectors of massive 2D field theories is analysed. In the soliton field algebra, the non-local commutation relations are determined and Weak Locality, Spin-Statistics and CPT theorems are proven. These theorems depart from their usual appearance due to the broken symmetry connecting the inequivalent vacua. An interpretation in terms of modular theory is given. For the neutral subalgebra, the theorems hold in the familiar form, and Twisted Locality is derived.
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