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arXiv:hep-th/0003260·v2·High Energy Physics — Theory

Symplectic Symmetry of the Neutrino Mass and the See-Saw Mechanism

A.B. Balantekin (Wisconsin U., Madison and Max-Planck-Institute, Heidelberg)🇺🇸 · N. Ozturk (U. Wisconsin)🇺🇸

Abstract

We investigate the algebraic structure of the most general neutrino mass Hamiltonian and place the see-saw mechanism in an algebraic framework. We show that this Hamiltonian can be written in terms of the generators of an Sp(4) algebra. The Pauli-Gursey transformation is an SU(2) rotation which is embedded in this Sp(4) group. This SU(2) also generates the see-saw mechanism.

Comments: 11 pages, REVTEX

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