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arXiv · hep-th/9604117

Quantum Deformation of Lattice Gauge Theory

D. V. Boulatov
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Abstract

A quantum deformation of 3-dimensional lattice gauge theory is defined by applying the Reshetikhin-Turaev functor to a Heegaard diagram associated to a given cell complex. In the root-of-unity case, the construction is carried out with a modular Hopf algebra. In the topological (weak-coupling) limit, the gauge theory partition function gives a 3-fold invariant, coinciding in the simplicial case with the Turaev-Viro one. We discuss bounded manifolds as well as links in manifolds. By a dimensional reduction, we obtain a q-deformed gauge theory on Riemann surfaces and find a connection with the algebraic Alekseev-Grosse-Schomerus approach.

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D. V. Boulatov. 1996-04-19. Quantum Deformation of Lattice Gauge Theory. https://doi.org/10.1007/s002200050111

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