# (2-)Drinfel'd Double and (2-)BF Theory

@inproceedings{Chen20222DrinfeldDA, title={(2-)Drinfel'd Double and (2-)BF Theory}, author={Hank Chen and Florian Girelli}, year={2022} }

The gauge symmetry and shift/translational symmetry of a 3D BF action, which are associated to a pair of dual Lie algebras, can be combined to form the Drinfel’d double. This combined symmetry is the gauge symmetry of the Chern-Simons action which is equivalent to the BF action, up to some boundary term. We show that something similar happens in 4D when considering a 2-BF action (aka BFCG action), whose symmetries are specified in terms of a pair of dual strict Lie 2-algebras (ie. crossed…

## One Citation

### Group field theory on 2-groups

- Mathematics
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Group ﬁeld theories are quantum ﬁeld theories built on groups. They can be seen as a tool to generate topological state-sums or quantum gravity models. For four dimensional manifolds, diﬀerent…

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