Projectively-compact spinor vertices and space-time spin-locality in higher-spin theory

Irreversibility and Higher-spin Conformal Field Theory

I discuss the properties of the central charges c and a for higher-derivative and higher-spin theories (spin 2 included). Ordinary gravity does not admit a straightforward identification of c and a in the trace anomaly, because it is not conformal. On the other hand, higherderivative theories can be conformal, but have negative c and a. A third possibility is to consider higher-spin conformal f...

A Space- and Time-eÆcient Local-spin Spin Lock

A simple code transformation is presented that reduces the space complexity of Yang and Anderson's local-spin mutual exclusion algorithm. In this algorithm, only atomic read and write instructions are used; each process generates (logN) remote memory references per lock request, where N is the number of processes. The space complexity of the transformed algorithm is (N), which is clearly optima...

A space- and time-efficient local-spin spin lock

On relativistic spin network vertices

Barrett and Crane have proposed a model of simplicial Euclidean quantum gravity in which a central role is played by a class of Spin(4) spin networks called “relativistic spin networks” which satisfy a series of physically motivated constraints. Here a proof is presented that demonstrates that the intertwiner of a vertex of such a spin network is uniquely determined, up to normalization, by the...

Spin Spaces, Lipschitz Groups, and Spinor Bundles

It is shown that every bundle ! M of complex spinor modules over the Cliiord bundle Cl(g) of a Riemannian space (M; g) with local model (V; h) is associated with an lpin (\Lipschitz") structure on M, this being a reduction of the O(h)-bundle of all orthonormal frames on M to the Lips-chitz group Lpin(h) of all automorphisms of a suitably deened spin space. An explicit construction is given of t...