SL(2,C) gravity on noncommutative space with Poisson structure

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.084017· OSTI ID:21432387

Yangang, Miao; Shaojun, Zhang ^[1]

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1. Department of Physics, Nankai University, Tianjin 300071 (China)

The Einstein's gravity theory can be formulated as an SL(2,C) gauge theory in terms of spinor notations. In this paper, we consider a noncommutative space with the Poisson structure and construct an SL(2,C) formulation of gravity on such a space. Using the covariant coordinate technique, we build a gauge invariant action in which, according to the Seiberg-Witten map, the physical degrees of freedom are expressed in terms of their commutative counterparts up to the first order in noncommutative parameters.

• OSTI ID: 21432387
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
DEGREES OF FREEDOM
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
INVARIANCE PRINCIPLES
RELATIVITY THEORY
SIMULATION