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We consider certain classes of operators in the exact conformal field theorySL(2,R) x SU(2) x U(1)^4 describing strings in an AdS(3) x S(3) x T4 geometrysupported by Neveu--Schwarz 3-form fluxes. This background arises in thenear-horizon limit of a system of NS5-branes wrapped on a 4-torus and F1-branessmeared on the 4-torus when both types of branes are located at the same pointin their common transverse space. We find a class of operators that lead tospacetime supersymmetric deformations. It is remarkable that most of theseoperators are not chiral primary with respect to the N=2 superconformal algebraon the wordsheet. A subset of these worldsheet conformal field theorydeformations admits an interpretation either as a geometric deformation of thebrane system or as a deformation of the distribution of the F1-branes, viewedas smooth instantons, inside the wrapped NS5-brane worldvolume. The2-dimensional conformal field theory, however, seems to lack operatorscorresponding to arbitrary NS5-brane deformations, in contrast to pureNS5-brane systems where all geometric deformations can be accounted for bychiral primary operators.

Supersymmetric deformations of F1-NS5-branes and their exact CFT description