  Symmetry breaking by perturbations in the AdS/CFT correspondence is
discussed. Perturbations of vector fields to the AdS_3 x S^3 solution of the
six-dimensional N=(4,4) supergravity are considered. These perturbations are
identified as descendents of chiral primary operators of a two-dimensional
N=(4,4) CFT with conformal weight (2,2) or (1,1). We examine unbroken
symmetries by the perturbations in the CFT side as well as in the supergravity
side and find the same result: the N=(4,2) or N=(2,4) Poincare supersymmetry
for the (2,2) perturbation and the N=(0,4) or N=(4,0) superconformal symmetry
for the (1,1) perturbation.
