Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
Abstract
This review covers a number of applications of conformal field theory methods for perturbative calculations in N=4 Super Yang-Mills and ABJM theory. After motivating the role of superconformal symmetry for elementary particle physics research, we review some basic facts about conformal symmetry and conformal transformations of fields in a pedagogical manner. The implications for perturbative quantum field theory calculations are discussed in terms of Ward identities. Recent developments and relations between amplitudes, correlators and Wilson loops are reviewed for N=4 Super Yang-Mills as well as ABJM theory. We give more details on previously published results on light-like polygonal Wilson loops in ABJM theory as well as the calculation of three-point functions of two BPS and one twist-two operator in N=4 Super Yang-Mills theory.
Keywords
Cite
@article{arxiv.1212.5181,
title = {Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities},
author = {Konstantin Wiegandt},
journal= {arXiv preprint arXiv:1212.5181},
year = {2012}
}
Comments
phd-thesis of the author