English

A categorical construction of 4D TQFTs

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

We construct a four dimensional topological Quantum Field Theory from a modular tensor category. We complete the proof in the case of SU(2)q at a root of unity. Our construction may be important in the physical interpretation of the Chern Simons state in the Ashtekar variables.

Keywords

Cite

@article{arxiv.hep-th/9301062,
  title  = {A categorical construction of 4D TQFTs},
  author = {Louis Crane and David N. Yetter},
  journal= {arXiv preprint arXiv:hep-th/9301062},
  year   = {2008}
}

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11 pages