The Classical Space-Time from The Chern Simons Gauge Theory of Gravity

1995 ◽  
pp. 229-239
Author(s):  
Freydoon Mansouri
Keyword(s):  
Gauge Theory ◽  
Space Time ◽  
Classical Space ◽  
Theory Of Gravity ◽  
Chern Simons ◽  
Gauge Theory Of Gravity

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.

AN EXCEPTIONAL E8 GAUGE THEORY OF GRAVITY IN D = 8, CLIFFORD SPACES AND GRAND UNIFICATION

2009 ◽  
Vol 06 (06) ◽  
pp. 911-930 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Gauge Theory ◽  
Gravitational Theory ◽  
Grand Unification ◽  
Quantum Level ◽  
Yang Mills ◽  
Group Invariant ◽  
Gravitational Model ◽  
Theory Of Gravity ◽  
Chern Simons ◽  
Gauge Theory Of Gravity

A candidate action for an Exceptional E8 gauge theory of gravity in 8D is constructed. It is obtained by recasting the E8 group as the semi-direct product of GL(8,R) with a deformed Weyl–Heisenberg group associated with canonical-conjugate pairs of vectorial and antisymmetric tensorial generators of rank two and three. Other actions are proposed, like the quarticE8 group-invariant action in 8D associated with the Chern–Simons E8 gauge theory defined on the 7-dim boundary of a 8D bulk. To finalize, it is shown how the E8 gauge theory of gravity can be embedded into a more general extended gravitational theory in Clifford spaces associated with the Cl(16) algebra and providing a solid geometrical program of a grand unification of gravity with Yang–Mills theories. The key question remains if this novel gravitational model based on gauging the E8 group may still be renormalizable without spoiling unitarity at the quantum level.

scholarly journals Integrable dissipative structures in the gauge theory of gravity

1997 ◽  
Vol 14 (12) ◽  
pp. 3179-3186 ◽  
Author(s):  
L Martina ◽  
O K Pashaev ◽  
G Soliani
Keyword(s):  
Gauge Theory ◽  
Dissipative Structures ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

CAN TORSION BE TREATED AS JUST ANOTHER TENSOR FIELD?

2012 ◽  
Vol 07 ◽  
pp. 158-164 ◽  
Author(s):  
JAMES M. NESTER ◽  
CHIH-HUNG WANG
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Affine Connection ◽  
Cartan Geometry ◽  
Civita Connection ◽  
Levi Civita Connection ◽  
Alternative Gravity Theories ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity ◽  
Alternative Gravity

Many alternative gravity theories use an independent connection which leads to torsion in addition to curvature. Some have argued that there is no physical need to use such connections, that one can always use the Levi-Civita connection and just treat torsion as another tensor field. We explore this issue here in the context of the Poincaré Gauge theory of gravity, which is usually formulated in terms of an affine connection for a Riemann-Cartan geometry (torsion and curvature). We compare the equations obtained by taking as the independent dynamical variables: (i) the orthonormal coframe and the connection and (ii) the orthonormal coframe and the torsion (contortion), and we also consider the coupling to a source. From this analysis we conclude that, at least for this class of theories, torsion should not be considered as just another tensor field.

scholarly journals Maxwell-affine gauge theory of gravity

2015 ◽  
Vol 751 ◽  
pp. 131-134 ◽  
Author(s):  
O. Cebecioğlu ◽  
S. Kibaroğlu
Keyword(s):  
Gauge Theory ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

scholarly journals Generalized plane waves in Poincaré gauge theory of gravity

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Milutin Blagojević ◽  
Branislav Cvetković ◽  
Yuri N. Obukhov
Keyword(s):  
Gauge Theory ◽  
Plane Waves ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

Homogeneous isotropic models in the metric-affine gauge theory of gravity

2000 ◽  
Vol 17 (15) ◽  
pp. 3045-3054 ◽  
Author(s):  
A V Minkevich ◽  
A S Garkun
Keyword(s):  
Gauge Theory ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity
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