Non-commutative deformation of Chern–Simons theory

Abstract The problem of the consistent definition of gauge theories living on the non-commutative (NC) spaces with a non-constant NC parameter $$\Theta (x)$$ Θ(x) is discussed. Working in the $$\hbox {L}_{\infty }$$ L∞ formalism we specify the undeformed theory, 3d abelian Chern–Simons, by setting t...

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Bibliographic Details
Main Author: Vladislav G. Kupriyanov
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-019-7573-y