Master thesis defense by Casper Juul Lorentzen

Title: Subsectors of ABJM Theory and Spin Matrix Theory Limits on AdS_4xCP^3

Abstract: This thesis firstly reviews the underlying physics that set the framework for the AdS/CFT correspondence, including conformal field theories, anti-de Sitter space, supergravity theories, and the holographic principle. Specifically, we review literature of computations done on the AdS_5xS^5 geometry. We study the metrics of the complex projective space, and exhibit the field contents, subsectors and decoupling limits of N = 4 super Yang-Mills and N = 6 super Chern-Simons theory. This is followed by a theoretical introduction of Penrose limits and description of Spin Matrix theory. Lastly, the corresponding Spin Matrix and Penrose limits and flat gauge string actions for various BPS-bounds for ABJM theory with AdS_4xCP^3 background are computed, finding also the respective TNC data. These findings generally compare well to other limits and procedures in the literature.