Gravitation as a Super SL(2,C) Gauge Theory

We present a gauge theory of the super SL(2,C) group. The gauge potential is a connection of the Super SL(2,C) group. A MacDowell-Mansouri type of action is proposed where the action is quadratic in the Super SL(2,C) curvature and depends purely on gauge connection. By breaking the symmetry of the Super SL(2,C) topological gauge theory to SL(2,C), a metric is naturally defined.Comment: 4 pages, Proceedings of the 9th Marcel Grossmann Meeting, Rome, 2-8 July, 200

Quasi-Local "Conserved Quantities"

Using the Noether Charge formulation, we study a perturbation of the conserved gravitating system. By requiring the boundary term in the variation of the Hamiltonian to depend only on the symplectic structure, we propose a general prescription for defining quasi-local ``conserved quantities'' (i.e. in the situation when the gravitating system has a non-vanishing energy flux). Applications include energy-momentum and angular momentum at spatial and null infinity, asymptotically anti-deSitter spacetimes, and thermodynamics of the isolated horizons.Comment: 4 pages, contribution to the proceedings of the 9th Marcel Grossmann Meeting; typos correcte

Quantum Weakdynamics as an SU(3)_I Gauge Theory: Grand Unification of Strong and Electroweak Interactions

Quantum weakdynamics (QWD) as an SU(3)_I gauge theory with the Theta vacuum term is considered to be the unification of the electroweak interaction as an SU(2)_L x U(1)_Y gauge theory. The grand unification of SU(3)_I x SU(3)_C beyond the standard model SU(3)_C x SU(2)_L x U(1)_Y is established by the group SU(3)_I. The grand unified interactions break down to weak and strong interactions at a new grand unification scale 10^{3} GeV, through dynamical spontaneous symmetry breaking (DSSB); the weak and strong coupling constants are the same, alpha_i = alpha_s ~ 0.12, at this scale. DSSB is realized by the condensation of scalar fields, postulated to be spatially longitudinal components of gauge bosons, instead of Higgs particles. Quark and lepton family generation, the Weinberg angle sin^2 theta_W = 1/4, and the Cabbibo angle sin theta_C = 1/4 are predicted. The electroweak coupling constants are alpha_z = alpha_i/3, alpha_w = alpha_i/4, alpha_y = alpha_i/12, and alpha_e = alpha_i/16 = 1/137; there are symmetric isospin interactions.Comment: REVTeX, 20 pages, corrected typographic errors, revised Section I