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Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4

Roberto De Pietri·Carlo Petronio
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Abstract

The problem of constructing a quantum theory of gravity has been tackled with very different strategies, most of which relying on the interplay between ideas from physics and from advanced mathematics. On the mathematical side, a central role is played by combinatorial topology, often used to recover the space-time manifold from the other structures involved. An extremely attractive possibility is that of encoding all possible space-times as specific Feynman diagrams of a suitable field theory. In this work we analyze how exactly one can associate combinatorial 4-manifolds to the Feynman diagrams of certain tensor theories.

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Roberto De Pietri, Carlo Petronio. 2000-06-24. Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4. https://doi.org/10.1063/1.1290053

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