Sergio Giardino
Instituto de Matemática e Estatística
Departamento de Matemática Pura e Aplicada (email)
Departamento de Matemática Pura e Aplicada (email)
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.