C, P, and T of Braid Excitations in Quantum Gravity
arXiv:0805.1265 · doi:10.1016/j.nuclphysb.2008.06.022
Abstract
We study the discrete transformations of four-valent braid excitations of framed spin networks embedded in a topological three-manifold. We show that four-valent braids allow seven and only seven discrete transformations. These transformations can be uniquely mapped to C, P, T, and their products. Each CPT multiplet of actively-interacting braids is found to be uniquely characterized by a non-negative integer. Finally, braid interactions turn out to be invariant under C, P, and T.
28 pages, 5 figures, version accepted by Nucl. Phys. B