Four-Dimensional Conformal Field Theory using Quaternions

被引：4

作者：

Giardino, Sergio ^{[1
]}

机构：

[1] Univ Beira Interior, Ctr Matemat & Aplicacoes, Dept Fis, Rua Marques DAvila & Bolama, P-6200001 Covilha, Portugal

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 03期

关键词：

D O I：

10.1007/s00006-017-0781-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2457 / 2471

页数：15

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[2]

[Anonymous], BULG J PHYS

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Blumenhagen R., 2009, Introduction to conformal field theory: With applications to string theory, DOI [10.1007/978-3-642-00450-6, DOI 10.1007/978-3-642-00450-6]

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