English

Direct Sum Decompositions and Indecomposable TQFT's

q-alg 2010-11-19 v1 High Energy Physics - Theory Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9505026,
  title  = {Direct Sum Decompositions and Indecomposable TQFT's},
  author = {Stephen Sawin},
  journal= {arXiv preprint arXiv:q-alg/9505026},
  year   = {2010}
}

Comments

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

R2 v1 2026-07-22T19:20:29.784Z