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

A.B. Balantekin (Wisconsin U.; Heidelberg); Madison; Max-Planck-Institute; N. Ozturk (U. Wisconsin)

arxiv: hep-th/0003260 · v2 · submitted 2000-03-28 · ✦ hep-th · hep-ph· nucl-th

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

A.B. Balantekin (Wisconsin U. , Madison , Max-Planck-Institute , Heidelberg) , N. Ozturk (U. Wisconsin) This is my paper

classification ✦ hep-th hep-phnucl-th

keywords mechanismsee-sawalgebraichamiltonianmassneutrinoalgebraembedded

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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.

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

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