A categorical construction of 4D TQFTs

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages

Scientific paper

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.

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