SO(2,3){sub ★} Noncommutative Gravity: Coupling with Matter Fields

doi:10.1134/s1063779618050179

DOE OSTI · 22981797

SO(2,3){sub ★} Noncommutative Gravity: Coupling with Matter Fields

Abstract

In this paper, noncommutative gravity is treated as a gauge theory of the noncommutative SO(2,3){sub ⋆} group, while the noncommutativity is canonical. The Seiberg–Witten (SW) map is used to express noncommutative fields in terms of the corresponding commutative fields. In addition to pure gravity, we consider couplings to matter fields, in particular, to the Dirac and U(1) gauge field. The analysis can be extended to non Abelian gauge fields and scalar fields.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS COMMUTATION RELATIONS GAUGE INVARIANCE GRAVITATION MATHEMATICAL OPERATORS SCALAR FIELDS SO-2 GROUPS U-1 GROUPS

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BibTeX RIS

2018-09-15. SO(2,3){sub ★} Noncommutative Gravity: Coupling with Matter Fields. https://doi.org/10.1134/s1063779618050179

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