Direct Sum Decompositions and Indecomposable TQFT's
classification
q-alg
hep-thmath.QA
keywords
indecomposabletheoriestqftarbitraryaxiomaticclassifieddecomposedecomposition
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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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