Advances in Applied Clifford Algebras

, Volume 27, Issue 3, pp 2457–2471 | Cite as

Four-Dimensional Conformal Field Theory using Quaternions

  • Sergio Giardino


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.


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© Springer International Publishing 2017

Authors and Affiliations

  1. 1.Departamento de Física, Centro de Matemática e AplicaçõesUniversidade da Beira InteriorCovilhãPortugal

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