165 citations · 1.5k across the 66 of their papers we have counts for
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Spin Foam Diagrammatics and Topological Invariance
Florian Girelli, Robert Oeckl, Alejandro Perez
We provide a simple proof of the topological invariance of the Turaev-Viro model (corresponding to simplicial 3d pure Euclidean gravity with cosmological constant) by means of a no…
The dual of non-Abelian Lattice Gauge Theory
Hendryk Pfeiffer, Robert Oeckl
Non-Abelian Lattice Gauge Theory in Euclidean space-time of dimension d>=2 whose gauge group is any compact Lie group is related to a Spin Foam Model by an exact strong-weak dualit…
Generalized Lattice Gauge Theory, Spin Foams and State Sum Invariants
Robert Oeckl
We construct a generalization of pure lattice gauge theory (LGT) where the role of the gauge group is played by a tensor category. The type of tensor category admissible (spherical…
Structure Theorem for Covariant Bundles on Quantum Homogeneous Spaces
Robert Oeckl
The natural generalization of the notion of bundle in quantum geometry is that of bimodule. If the base space has quantum group symmetries one is particularly interested in bimodul…
The Quantum Geometry of Supersymmetry and the Generalized Group Extension Problem
Robert Oeckl
We examine the notion of symmetry in quantum field theory from a fundamental representation theoretic point of view. This leads us to a generalization expressed in terms of quantum…