Conserved Quantities and the Algebra of Braid Excitations in Quantum Gravity
arXiv:0805.0453 · doi:10.1016/j.nuclphysb.2008.06.021
Abstract
We derive conservation laws from interactions of braid-like excitations of embedded framed spin networks in Quantum Gravity. We also demonstrate that the set of stable braid-like excitations form a noncommutative algebra under braid interaction, in which the set of actively-interacting braids is a subalgebra.
26 pages, discussion expanded, accepted by Nucl. Phys. B
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Cited by in corpus (10)
- C, P, and T of Braid Excitations in Quantum Gravity
- Emergent Braided Matter of Quantum Geometry
- Effective Theory of Braid Excitations of Quantum Geometry in terms of Feynman Diagrams
- Emergent matter from 3d generalised group field theories
- Conserved Topological Defects in Non-Embedded Graphs in Quantum Gravity
- Invariants of Braided Ribbon Networks
- Infinite Degeneracy of States in Quantum Gravity
- Invariants of Spin Networks from Braided Ribbon Networks
- Conserved Quantities for Interacting Four Valent Braids in Quantum Gravity
- Electroweak symmetries from the topology of deformed spacetime with minimal length scale