Four-Dimensional Conformal Field Theory using Quaternions

作者：Giardino Sergio

来源：Advances in Applied Clifford Algebras, 2017, 27(3): 2457-2471.

DOI：10.1007/s00006-017-0781-3

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.

• 出版日期2017-9