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Four-Dimensional Conformal Field Theory using Quaternions

Four-Dimensional Conformal Field Theory using Quaternions We have built a constrained four-dimensional quaternion-parametrized conformal field theory using quaternion holomorphic functions as the generators of quaternionic conformal transformations. With the two-dimensional complex-parametrized conformal field theory as our model, we study the stress tensor, the conserved charge, the symmetry generators, the quantization conditions and several operator product expansions. Future applications are also addressed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

Four-Dimensional Conformal Field Theory using Quaternions

Advances in Applied Clifford Algebras , Volume 27 (3) – Apr 17, 2017

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
DOI
10.1007/s00006-017-0781-3
Publisher site
See Article on Publisher Site

Abstract

We have built a constrained four-dimensional quaternion-parametrized conformal field theory using quaternion holomorphic functions as the generators of quaternionic conformal transformations. With the two-dimensional complex-parametrized conformal field theory as our model, we study the stress tensor, the conserved charge, the symmetry generators, the quantization conditions and several operator product expansions. Future applications are also addressed.

Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: Apr 17, 2017

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