  The talk describes recent progress in understanding the behaviour of the
stress tensor and its correlation functions at a critical point of a generic
quenched random system. The topics covered include:(i) the stress tensor in
random systems considered as deformed pure systems; (ii) correlators of the
stress tensor at a random fixed point: expectations from the replica approach
and c-theorem sum rules; (iii) partition function on a torus; (iv) how the
stress tensor enters into correlation functions: subtleties with Kac operators.
