Direct Sum Decompositions and Indecomposable TQFT's

Abstract

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.

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

References in corpus (1)

• Classification and construction of unitary topological field theories in two dimensions

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