Supersymmetric configurations in the rotating D1-D5 system andpp-waves

Two families of supersymmetric configurations are considered. One is the 1/4 supersymmetric D1–D5 system with angular momentum, and the other is a family of pp-waves of type IIB string theory with some supersymmetry.; In the first part of the thesis some configurations of the D1–D5 system are examined which give conical singularities in AdS ₃ as their near horizon limit. It is shown that they can be made non-singular by adding angular momentum to the brane system. The smooth asymptotically flat solutions constructed this way are used to obtain global AdS ₃ as the near horizon geometry.; Using the relation of the D1–D5 system to the oscillating string, a large family of supergravity solutions is constructed which describe BPS excitations on AdS₃ × S 3 with angular momentum on S3. These solutions take into account the full back reaction on the metric, and can be viewed as Kaluza-Klein monopole “supertubes”, which are completely non-singular geometries. The different chiral primaries of the dual CFT are identified with these different supergravity solutions. This part is adapted from the papers [1], [2].; In its second part, a general class of supersymmetric pp-wave solutions of type IIB string theory is constructed, such that the superstring worldsheet action in light cone gauge is that of an interacting massive field theory. It is shown that when the light cone Lagrangian has (2.2) supersymmetry, one can find backgrounds that lead to arbitrary superpotentials on the worldsheet. Both flat and curved transverse spaces are considered. In particular, the background giving rise to the N = 2 sine Gordon theory on the worldsheet is analyzed. Massive mirror symmetry relates it to the deformed CP1 model (or sausage model) which seems to elude a purely supergravity target space interpretation. These are results which appeared in the paper [3].