Higher form Yang-Mills as higher BFYM theories

Abstract

The YM theory has been generalized to 2YM and 3YM theories. Similarly, we generalize the BFYM theory to "2BFYM" and "3BFYM" theories. Then, we show that these higher BFYM theories can give the formulations of the corresponding higher form YM theories. Finally, we study the gauge symmetries of these higher BFYM theories.

References in corpus (5)

• Topological Higher Gauge Theory - from BF to BFCG theory
• Hamiltonian Analysis for the Scalar Electrodynamics as 3BF Theory
• Canonical formulation of Poincare BFCG theory and its quantization
• Topological field theories in n-dimensional spacetimes and Cartan's equations
• Standard Model and 4-groups

Cited by in corpus (5)

• Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
• Higher Chern-Simons based on (2-)crossed modules
• Henneaux-Teitelboim gauge symmetry and its applications to higher gauge theories
• Symmetry breaking mechanisms of the 3BF action for the Standard Model coupled to gravity
• Correspondence between 3BF and Einstein-Cartan formulations of quantum gravity