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Spinors and Voros star-product for Group Field Theory: First Contact
Spinors Voros star-product Group Field Theory General Relativity and Quantum Cosmology
2011/10/10
Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
Abstract: Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particula...
The Cauchy problem for metrics with parallel spinors
Cauchy problem parallel spinors generalized Killing spinors Ricci-flat metrics
2011/7/27
Abstract: We show that in the analytic category, given a Riemannian metric $g$ on a hypersurface of a smooth manifold, and a symmetric tensor $W$ on this hypersurface, $g$ can be locally extended to a...
Spinors and Positive Mass
Spinors Positive Mass
2010/4/15
As an example of how spinor methods can be applied to the positive-mass theorem, a simple, spinor-based proof of the theorem is presented for the case of a single black hole. Generalisations of the th...