PMID: 11607109Oct 1, 1990Paper

Superconnections and internal supersymmetry dynamics

Proceedings of the National Academy of Sciences of the United States of America
Y Ne'eman, S Sternberg

Abstract

In previous papers we proposed a theory of internal supersymmetry using the superalgebra su(n/1) to give rise to a unified structure that included quarks and leptons in 2n-5 generations. In the present paper we suggest that the notion of superconnections as introduced by Quillen provides a natural setting for the dynamics of an internally supersymmetric theory with the Higgs field occurring as the "zero-th order part" of the superconnection. The Higgs mechanism enters quadratically into the curvature of the superconnection and hence quartically into the Lagrangian. The supercovariant derivative gives a coupling of the Higgs field to the matter field similar to that put in "by hand" in the Lagrangian of the Weinberg-Salam theory.

References

Jun 1, 1980·Proceedings of the National Academy of Sciences of the United States of America·Y Ne'eman, S Sternberg
Nov 1, 1982·Proceedings of the National Academy of Sciences of the United States of America·J Thierry-Mieg, Y Ne'eman

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Citations

Nov 15, 1992·Proceedings of the National Academy of Sciences of the United States of America·S Sternberg
Nov 15, 1991·Physical Review. D·B S BalakrishnaK C Wali

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