Direct Sum Decompositions and Indecomposable TQFT's

Details Direct Sum Decompositions and Indecomposable TQFT's Direct Sum Decompositions and Indecomposable TQFT's

1995-05-23

arxiv.org/abs/q-alg/9505026v1

J.Math.Phys.36:6673-6680,1995

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, AMSLaTeX, 5 figures compressed and uuencoded by uufiles

Scientific paper

10.1063/1.531180

The decomposition of an arbitrary axiomatic topological quantum field theory
or TQFT into indecomposable theories is given. In particular, unitary TQFT's in
arbitrary dimensions are shown to decompose into a sum of theories in which the
Hilbert space of the sphere is one-dimensional, and indecomposable
two-dimensional theories are classified.

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