VIERBEIN IN DE SITTER GAUGE THEORY OF GRAVITY

1989 ◽  
Vol 04 (07) ◽  
pp. 621-628 ◽  
Author(s):  
KIYOSHI KAMIMURA ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Gauge Theory ◽  
Vacuum Solution ◽  
Unit Vector ◽  
Gauge Fields ◽  
Spin Connection ◽  
De Sitter ◽  
Pure Gravity ◽  
Theory Of Gravity ◽  
Vector Formula ◽  
Gauge Theory Of Gravity

In the gauge theory of gravity, SO'(5) gauge fields are shown to be related to vierbein and spin connection by a form of gauge transformation with the transformation matrix parametrized by an S4 unit vector [Formula: see text]. It is understood as the collective coordinate parametrizing the vacuum solution of maximal symmetric space. The action of pure gravity theory is determined uniquely (up to surface term) by the requirement that the pure gauge configuration of SO'(5) gauge fields gives the maximally symmetric solution of the equation of motion, i.e., de Sitter space of constant curvature.

scholarly journals A CHERN–SIMONS E8 GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES

2007 ◽  
Vol 04 (08) ◽  
pp. 1239-1257 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Gauge Theory ◽  
Grand Unification ◽  
De Sitter ◽  
Sitter Group ◽  
Yang Mills ◽  
Theory Of Gravity ◽  
M Theory ◽  
Chern Simons ◽  
Topological Part ◽  
Gauge Theory Of Gravity

A novel Chern–Simons E8 gauge theory of gravity in D = 15 based on an octicE8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern–Simons E8 gauge theory. We review the construction showing why the ordinary 11D Chern–Simons gravity theory (based on the Anti de Sitter group) can be embedded into a Clifford-algebra valued gauge theory and that an E8 Yang–Mills field theory is a small sector of a Clifford (16) algebra gauge theory. An E8 gauge bundle formulation was instrumental in understanding the topological part of the 11-dim M-theory partition function. The nature of this 11-dim E8 gauge theory remains unknown. We hope that the Chern–Simons E8 gauge theory of gravity in D = 15 advanced in this work may shed some light into solving this problem after a dimensional reduction.

scholarly journals Observational constraints in metric-affine gravity

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Sebastian Bahamonde ◽  
Jorge Gigante Valcarcel
Keyword(s):  
Gauge Theory ◽  
White Dwarf ◽  
Vacuum Solution ◽  
Gravitational Redshift ◽  
Observational Constraints ◽  
Perihelion Precession ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity ◽  
Affine Gravity

AbstractWe derive the main classical gravitational tests for a recently found vacuum solution with spin and dilation charges in the framework of Metric-Affine gauge theory of gravity. Using the results of the perihelion precession of the star S2 by the GRAVITY collaboration and the gravitational redshift of Sirius B white dwarf we constrain the corrections provided by the torsion and nonmetricity fields for these effects.

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