Laplacian on forms and anomalies in closed hyperbolic manifolds

Bytsenko, A. A.; Gonçalves, A. E.; Simões, M.

doi:10.1590/s0103-97332000000300016

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Comparison With Other Theories1

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2008

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“…Many studies have been made of closed hyperbolic spaces [19]. Some studies are relevant to the introduction of relativistic dynamics [20], and to spinorial structures in particular [21]. However, many studies of closed hyperbolic manifolds deal with signatures of the form (1, n), and in particular with 3-manifolds.…”

Section: Comparison With Other Theoriesmentioning

confidence: 99%

A Spin Gauge Model of a Family of Particles

Chisholm

Farwell

2008

AACA

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We have defined our spin gauge model of the electron and neutrino using the 'physical algebra' C (1, 6). We used our new form of 'two-sided' gauge transformations on spinors; these are equivalence transformations on minimal left ideals of the algebra. This equivalence transformation produces an additional interaction term which reproduces the correct electroweak interactions of the electron and neutrino, based on a reduced symmetry group. In the work presented here, this model is extended to the next physical algebra C (3, 8) which enables us to include the first family of particles. The strong interactions are generated by gauge transformation based on an SU(3) symmetry group which fixes the electric charges of the particles. Mathematics Subject Classification (2000). 15A66, 70S15, 17B81.

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Section: Comparison With Other Theoriesmentioning

confidence: 99%