Canonical coordinates and meson spectra for scalar deformed Script N = 4 SYM from the AdS/CFT correspondence

Five supersymmetric scalar deformations of the AdS_5xS^5 geometry areinvestigated. By switching on condensates for the scalars in the N=4 multipletwith a form which preserves a subgroup of the original R-symmetry, disk andsphere configurations of D3-branes are formed in the dual supergravitybackground. The analytic, canonical metric for each geometry is formulated andthe singularity structure is studied. Quarks are introduced into two of thecorresponding field theories using D7-brane probes and the pseudoscalar mesonspectrum is calculated. For one of the condensate configurations, a mass gap isfound and shown analytically to be present in the massless limit. It is alsofound that there is a stepped spectrum with eigenstate degeneracy in the limitof small quark masses. In the case of a second, similar deformation, it isnecessary to understand the full D3-D7 brane interaction to study the limit ofsmall quark masses. It is seen that simple solutions to the equations of motionfor the other three geometries are unlikely to exist.Comment: 16 pages, 7 figures, references added, typos correcte