On-shell Methods in Three and Six Dimensions
Abstract
In the past few years, on-shell analytic methods have played a pivotal
role in gauge theory calculations. Since the initial success of these methods
in Standard Model physics, considerable activity has led to development and
application in supersymmetric gauge theories.
In particular, the maximally supersymmetric super Yang-Mills theory received
much attention after the discovery of holographic dualities. Here, the
spinor helicity formalism and on-shell superspace is described initially for four
dimensions. The framework of general unitarity is shown to be a useful tool
for calculating loop corrections of scattering amplitudes.
Once the foundation is laid, application in three and six dimensions is
explored. In six dimensions the case of interest is a theory with (1,1) supersymmetry
which captures the dynamics of five-branes in string theory. In
this setup the one-loop superamplitude with four and five external particles is
calculated and checked for consistency.
In three dimensions, the supersymmetric gauge theory that is supposed to
describe the dynamics of M2-branes is considered. This particular theory is
also related to M-theory via the holographic duality. The goal was to explore
and determine the infra-red divergences of the theory. This was achieved by
calculating the Sudakov form factor at two loops.
Authors
Korres, DimitriosCollections
- Theses [3822]