Abstract.
We outline some aspects of a dilogarithmic quantum field theory (DQFT) for a 2+1 bordism category based on 3-manifolds equipped with principal flat \(PSL(2,\mathbb{C})\) bundles. We give some geometric evidence that it could be pertinent to 3D gravity, and we describe the building blocks of DQFT: the matrix dilogarithms.
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Lecture held in the Seminario Matematico e Fisico on November 24, 2003
Received: April, 2004
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Benedetti, R. About a Quantum Field Theory for 3D Gravity. Milan j. math. 72, 189–208 (2004). https://doi.org/10.1007/s00032-004-0024-7
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DOI: https://doi.org/10.1007/s00032-004-0024-7