Kutasov-like duality from D5-branes wrapping hyperbolic cycles

We study the addition of NfNf flavor D5-branes to supergravity solutions describing D5-branes wrapping two-cycles of genus g>1g>1 inside a six-dimensional space equipped with an SU(3)SU(3)-structure. The non-zero genus g   on the gravity side is dual to the existence of massless adjoint chiral superfields. Three types of internal manifolds are considered, each involving one of the following fibered products: H2×SL˜2, S2×SL˜2 or H2×S3H2×S3, where SL˜2 stands for the universal cover of SL(2,R)SL(2,R). For the first one, we investigate the dual field theories. We show that some of the solutions with Nf≠0Nf≠0 are dual to four-dimensional N=1N=1 field theories exhibiting a Kutasov-like duality taking Nc→kNf−NcNc→kNf−Nc and keeping NfNf fixed. Computed from the supergravity picture, k is in general a rational number, which can be made integer to fit the expectation from the field theory side. We finally study some other properties of those field theories.