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This type of additional gauge invariance is typical of fields in some non-trivial module of the structure group.
B]), which is needed for several reasons: in order to contract the indices on the [PHI]'s antisymmetrically, to get a Lagrangian of ghost number 3, and to ensure invariance in the equivalence classes defined by Eq.
These kernels are particularly useful where the input data may possess invariances or noise components that can interfere with the ability to accurately extract the desired information.