Properties of the generalized Lax pair
The generalized Lax operator has the following properties:
- The
gauge covariance.
For 
, consider the transformation
acting on the currents (33) and ghosts 
, 
as follows:
Then
transforms in a covariant way:
- Zero curvature:
- Covariance under the BRST transformations. When we act on the currents (33) and ghosts, by the BRST transformation:
then transforms in a covariant way:
