Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-16
Physics
High Energy Physics
High Energy Physics - Theory
Ph.D. thesis, 125 pages; v3: references added
Scientific paper
In 2008, Aharony, Bergman, Jafferis, and Maldacena (ABJM) discovered a three-dimensional Chern-Simons theory with N = 6 supersymmetry and conjectured that in a certain limit, this theory is dual to type IIA string theory on AdS4xCP3. Since then, a great deal of evidence has been accumulated which suggests that the ABJM theory is integrable in the planar limit. Integrability is a very useful property that allows many physical observables, such as anomalous dimensions and scattering amplitudes, to be computed efficiently. In the first half of this thesis, we will explain how to use integrabilty to compute the anomalous dimensions of long, single-trace operators in the ABJM theory. In particular, we will describe how to compute them at weak coupling using a Bethe Ansatz, and how to compute them at strong coupling using string theory. The latter approach involves using algebraic curve and world-sheet techniques to compute the energies of string states dual to gauge theory operators. In the second half of this thesis, we will discuss integrability from the point of view of on-shell scattering amplitudes in the ABJM theory. In particular, we will describe how to parameterize the amplitudes in terms of supertwistors and how to relate higher-point tree-level amplitudes to lower-point tree-level amplitudes using a recursion relation. We will also explain how this recursion relation can be used to show that all tree-level amplitudes of the ABJM theory are invariant under dual superconformal symmetry. This symmetry is hidden from the point of the action and implies that the theory has Yangian symmetry, which is a key feature of integrability. This thesis is mainly based on the material in [101], [83], and [84].
No associations
LandOfFree
Integrability of N = 6 Chern-Simons Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Integrability of N = 6 Chern-Simons Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability of N = 6 Chern-Simons Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-727534