有挠的旋量引力规范理论

SPINOR GAUGE THEORY OF GRAVITATION WITH TORSION

考虑时空M为u_4空间,建立以M为底流形、SL(2,c)为结构群的二维复矢量丛,丛上联络作为规范势。建立了有挠时空的旋量引力规范理论,得到的场方程为推广的Newman—Penrose方程。

A complex two dimensional vector bundle is constructed,which structure group is SL (2,c) ,base manifold is spacetime M and M is u space. Taking an affine connection in the complex vector bundle to be gauge potentials,we propose a spinor gauge theory of gravitation with torsion,which gauge field equations is the generalizing Newman-Penrose equations.