Generalized Slavnov-Taylor,BRST and covariance identities from the geometry of the gauge surface

It is shown that various Green function identities in quantized gauge theories may be viewed as arising from the local conformal groupSO(N+1, 1) of motions of theN-dimensional gauge fixing surface. Translations and rotations correspond respectively to the usual Slavnov-Taylorinvariance and anew ‘dual’ analogue. Dilations give rise to thecovariance identities, and in axial type gauges we obtain a closed form for the covariance relationships. It is shown that the generalized Slavnov-Taylor identities, and the BRST identities, are equivalent, as are their duals.