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Grassmannian duality and the particle spectrum

journal contribution
posted on 2023-05-18, 22:32 authored by Robert DelbourgoRobert Delbourgo
Schemes based on anticommuting scalar coordinates, corresponding to properties, lead to generations of particles naturally. The application of Grassmannian duality cuts down the number of states substantially and is vital for constructing sensible Lagrangians anyhow. We apply duality to all of the subgroups within the classification group SU(3)× SU(2)L × SU(2)R, which encompasses the standard model gauge group, and thereby determine the full state inventory; this includes the definite prediction of quarks with charge −4/3 and other exotic states. Assuming universal gravitational coupling to the gauge fields and parity even property curvature, we also obtain 4 sin2 θ𝓌 = 1 − 2α/3αs which is not far from the experimental value around the MZ mass.

History

Publication title

International Journal of Modern Physics A

Volume

31

Issue

26

Article number

1650153

Number

1650153

Pagination

18

ISSN

0217-751X

Department/School

School of Natural Sciences

Publisher

World Scientific Publishing Company

Place of publication

Journal Dept Po Box 128 Farrer Road, Singapore, Singapore, 912805

Rights statement

Copyright 2016 World Scientific Publishing Company

Repository Status

  • Restricted

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Expanding knowledge in the physical sciences

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