On the Moyal deformation of Nahm equations in seven dimensions
We show how the reduced (anti-)self-dual Yang–Mills equations to seven dimensions described by the Nahm equations can be carried over to the Weyl–Wigner–Moyal formalism. In the proce...
We show how the reduced (anti-)self-dual Yang–Mills equations to seven dimensions described by the Nahm equations can be carried over to the Weyl–Wigner–Moyal formalism. In the proce...
General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
A viscoelastic wave equation in canonical form with weakly nonlinear time-dependent dissipation and source terms is investigated in this paper. For a wider class of relaxation functions and without im...
A viscoelastic wave equation in canonical form with weakly nonlinear time-dependent dissipation and source terms is investigated in this paper. For a wider class of relaxation functions and without im...
Particle topology, braids, and braided belts
J. Math. Phys. 50, 113505 (2009); doi:10.1063/1.3237148
Published 5 November 2009
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Recent work [S. O. Bilson-Thompson, e-print arXiv:hep-th/0503213; Bilson-Thompson et al., Class. Quantum Grav. 24, 3975 (2007)] suggests that topological features of certain quantum gravity theories can be interpreted as particles, matching the known fermions and bosons of the first generation in the standard model. This is achieved by identifying topological structures with elements of the framed Artin braid group on three strands and demonstrating a correspondence between the invariants used to characterize these braids (a braid is a set of nonintersecting curves, that connect one set of N points with another set of N points) and quantities such as electric charge, color charge, and so on [S. O. Bilson-Thompson, e-print arXiv:hep-th/0503213; Bilson-Thompson et al., e-print aXiv:0804.0037]. In this paper we show how to manipulate a modified form of framed braids to yield an invariant standard form for sets of isomorphic braids, characterized by a vector of real numbers. This will serve as a basis for more complete discussions of quantum numbers in future work.
©2009 American Institute of Physics
| History: | Received 11 June 2009; accepted 31 August 2009; published 5 November 2009 |
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http://link.aip.org/link/?JMAPAQ/50/113505/1 |
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0022-2488 (print)
1089-7658 (online)
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REFERENCES (9)
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