Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities

2012/12/20 by Konstantin Wiegandt, Wiegandt, Konstantin
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1212.5181

openalex publication_date 2012/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Supersymmetry and Supergravity
• A planar diagram theory for strong interactions
• A new improved energy-momentum tensor

Related

• Twistors, strings and supersymmetric gauge theories
• Some aspects of conformal \cal N=4 SYM four point function
• Aspects of superconformal symmetry
• Exact results on quantum field theories interpolating between pairs of conformal field theories
• Wilson loops as defects in N=2 conformal field theories