• Corpus ID: 246430306

(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… 
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