Towards Gauge theory for a class of commutative and non-associative fuzzy spaces
DOI: 10.1088/1126-6708/2004/03/034
关键词: Quantum electrodynamics 、 Lattice gauge theory 、 Gauge anomaly 、 Physics 、 Pure mathematics 、 BRST quantization 、 Hamiltonian lattice gauge theory 、 Quantum gauge theory 、 Supersymmetric gauge theory 、 Introduction to gauge theory 、 Gauge covariant derivative
摘要: We discuss gauge theories for commutative but non-associative algebras related to the SO(2k+1) covariant finite dimensional fuzzy 2k-sphere algebras. A consequence of non-associativity is that fields and parameters have be generalized functions coordinates as well derivatives. The usual depending on only are recovered after a partial fixing. deformation parameter these scalar rotation group. This suggests interesting string-inspired algebraic deformations spacetime which preserve Lorentz-invariance.
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