Conformal quantum field theory in various dimensions

Abstract

Various relations between conformal quantum field theories in one, two and four dimensions are explored. The intention is to obtain a better understanding of 4D CFT with the help of methods from lower dimensional CFT.

12 pages, submitted to Bulg. J. Phys

References in corpus (3)

• D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes
• Partial wave expansion and Wightman positivity in conformal field theory
• Harmonic bilocal fields generated by globally conformal invariant scalar fields

Cited by in corpus (5)

• Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I (The two antagonistic localizations and their asymptotic compatibility)
• Models in Boundary Quantum Field Theory Associated with Lattices and Loop Group Models
• Infraparticles with superselected direction of motion in two-dimensional conformal field theory
• Four-dimensional conformal field theory using quaternions
• Modular dynamics in diamonds