Torsionally-Induced Stability in Spinors

On the stability of Riemannian manifold with parallel spinors

Inspired by the recent work [HHM03], we prove two stability results for compact Riemannian manifolds with nonzero parallel spinors. Our first result says that Ricci flat metrics which also admit nonzero parallel spinors are stable (in the direction of changes in conformal structures) as the critical points of the total scalar curvature functional. Our second result, which is a local version of ...

Torsionally excited methanol at 44.9 GHz

Using the Haystack Observatory 37-m radio telescope we have undertaken a search for emission in the 20 −31 E rotational transition of methanol in its first torsionally excited state (vt = 1) at 44.9 GHz. We examined seven galactic sources – six strong emitters of Class II methanol maser lines and Orion KL, the only source where this line had been previously detected. We confirm (at a level of 5...

SPINORS and

Delocalised Spinors

Solutions to the four-dimensional Euclidean Weyl equation in the background of a general JNR N -instanton are known to be normalisable and regular throughout four-space. We show that these solutions are asymptotically given by a linear combination of simple singular solutions to the free Weyl equation, which can be interpreted as localised spinors. The ‘spinorial’ data parameterising the asympt...

Spinors in Projective Relativity.