Four-dimensional conformal field theory using quaternions
High Energy Physics - Theory
2018-04-03 v1
Abstract
We build a four-dimensional quaternion-parametrized conformal field theory (QCFT) using quaternion holomorphic functions as the generators of quaternionic conformal transformations. Taking the two-dimensional complex-parametrized conformal field theory (CCFT) as our model, we study the stress tensor, the conserved charge, the symmetry generators, the quantization conditions and several operator product expansions (OPE's). Future applications also are addressed.
Cite
@article{arxiv.1509.07779,
title = {Four-dimensional conformal field theory using quaternions},
author = {Sergio Giardino},
journal= {arXiv preprint arXiv:1509.07779},
year = {2018}
}