Mesons in gauge/gravity dual with large number of fundamental fields

In view of extending gauge/gravity dualities with flavour beyond the probeapproximation, we establish the gravity dual description of mesons for athree-dimensional super Yang-Mills theory with fundamental matter. For thispurpose we consider the fully backreacted D2/D6 brane solution of Cherkis andHashimoto in an approximation due to Pelc and Siebelink. The low-energy fieldtheory is the IR fixed point theory of three-dimensional N=4 SU(N_c) superYang-Mills with N_f fundamental fields, which we consider in a large N_c andN_f limit with N_f/N_c finite and fixed. We discuss the dictionary betweenmeson-like operators and supergravity fluctuations in the correspondingnear-horizon geometry. In particular, we find that the mesons are dual to thelow-energy limit of closed string states. In analogy to computations ofglueball mass spectra, we calculate the mass of the lowest-lying meson and findthat it depends linearly on the quark mass.Comment: 19 pages, LaTeX, 6 figures, v2: fig. 4 added, refs. adde