Abstract
The basic principles of relativistic quantum field theory, i.e. locality as an incorporation of Einstein causality and the spectrum condition as a formulation of stability, which are extremely restrictive in 4 dimensional space time admit a richer structure in low dimensions (2 and 3). So particle statistics is in general described by a representation of the braid group instead of the usual Bose and Fermi statistics, statistical weights in cross sections are given in terms of link invariants, and the notion of a group of internal symmetries is generalized to “quantized symmetries”, as quantum groups or Ocneanu’s quantized groups.
Based on joint work with K.H. Rehren and B. Schroer1
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Fredenhagen, K. (1990). Structure of Superselection Sectors in Low-Dimensional Quantum Field Theory. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_10
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DOI: https://doi.org/10.1007/978-1-4684-9148-7_10
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