C, P, and T of Braid Excitations in Quantum Gravity

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

References in corpus (10)

• String-net condensation: A physical mechanism for topological phases
• Loop Quantum Gravity
• Quantum gravity and the standard model
• A topological model of composite preons
• Propagation and interaction of chiral states in quantum gravity
• Particle Identifications from Symmetries of Braided Ribbon Network Invariants
• On Braid Excitations in Quantum Gravity
• Conserved Quantities and the Algebra of Braid Excitations in Quantum Gravity
• Conserved Topological Defects in Non-Embedded Graphs in Quantum Gravity
• Locality and Translations in Braided Ribbon Networks

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