Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic Quantum Theory with Fractional Spin and Statistics   These lectures discuss the formulation of quantum mechanics with fractional
spin and statistics in 2+1 dimensions in a relativistic setting, emphasizing
the path-integral approach. The non-relativistic theory is reviewed from a
path-integral viewpoint. The group-theoretical underpinnings of relativistic
fractional spin are discussed, then the path-integral quantization of spin and
of massive fermions without using spinors is reviewed. The path integral for a
system of n relativistic particles with fractional spin is constructed, the
spin-statistics relation and the Lorentz and Poincare' representation content
of physical states are discussed. Some problems in formulating a field theory
with fractional statistics are presented, and their resolution in the operator
cocycle approach is reviewed.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph