2-Group Representations for Spin Foams (2009)
Baratin, Aristide, Wise, Derek K.
Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models...
Infinite-Dimensional Representations of 2-Groups (2008)
Baez, John C., Baratin, Aristide, Freidel, Laurent, Wise, Derek K.
A "2-group" is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on "2-vector...
The Holst Spin Foam Model via Cubulations (2008)
Baratin, Aristide, Flori, Cecilia, Thiemann, Thomas
Spin Foam Models (SFM) are an attempt at a covariant or path integral formulation of canonical Loop Quantum Gravity (LQG). Traditionally, SFM rely on 1. the Plebanski formulation of GR as a...
Infinite-Dimensional Representations of 2-Groups (2008)
Baez, John C., Baratin, Aristide, Freidel, Freidel, Wise, Derek K.
A "2-group" is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on "2-vector...
Hidden Quantum Gravity in 4d Feynman diagrams: Emergence of spin foams (2006)
Baratin, Aristide, Freidel, Laurent
We show how Feynman amplitudes of standard QFT on flat and homogeneous space can naturally be recast as the evaluation of observables for a specific spin foam model, which provides dynamics for the...
Hidden Quantum Gravity in 3d Feynman diagrams (2006)
Baratin, Aristide, Freidel, Laurent
In this work we show that 3d Feynman amplitudes of standard QFT in flat and homogeneous space can be naturally expressed as expectation values of a specific topological spin foam model. The main...
The Holst Spin Foam Model via Cubulations
Baratin, Aristide, Flori, Cecilia, Thiemann, Thomas
Spin Foam Models (SFM) are an attempt at a covariant or path integral formulation of canonical Loop Quantum Gravity (LQG). Traditionally, SFM rely on 1. the Plebanski formulation of GR as a...
2-Group Representations for Spin Foams
Baratin, Aristide, Wise, Derek K.
Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models...