Pierre Ramond

CP violation and mass relations in SO10

Abstract We note that in SO10 a large complex Majorana mass for the right-handed neutrinos provides high temperature soft CP violation. We then present a natural three-family SO10 model which reproduces observed mass relations and mixing angles and lacks strong CP violation in lowest order. The CP violation of the K 0 - K 0 system is unrelated to the high temperature CP violation mentioned above.

Classification of dual model gauge algebras

Abstract A complete classification of infinite graded algebras containing a Virasoro subalgebra and additional generators transforming with conformal spin 1 2 , 1, or 3 2 is derived.

Supergravity as geometry of superspace

The equations of motion for N = 1 supergravity are expressed in terms of geometrical quantities in superspace. Vector-spinor matter is included and also a nonzero dimensionless self-coupling leading to a finite de Sitter radius.

Unified theory of strong, electromagnetic, and weak interactions based on the vector-like group E(7)☆

We present a vector-like theory based on the unifying (exceptional) group E(7). The model has six quarks, u and c of charge 23 and d,s,b,h of chage −13, as well as two (heavy) leptons of charge −1. These heavy leptons decay right-handedly into the usual antineutrinos and radiatively into the charged light leptons. The quark weak current contains uR − bR transitions which could account for the “high y anomaly” in ν scattering. It also contains a large cR − sR component as a result of a 1% deviation from Cabibbo universality. CP violating effects can be accommodated by complexifying the Cabibbo-type rotations.

A note on the quark content of large color groups

Abstract We point out an ambiguity in the generalization of the quark content of SUN color groups for N > 3. We argue that the likely quarks in such groups appear in different representation of the antisymmetrized variety, allowing for a natural three-quark color singlet baryon in the large N expansion.

Extended supergravity as geometry of superspace

The equations of motion for N=3 extended supergravity are expressed in terms of geometrical quantities in superspace, using a simplification of a method previously proposed for N=1. The dimensionless self coupling e that leads to a finite de Sitter radius is included.

A left-right symmetric model with a useful global symmetry☆

Abstract A simple left-right symmetric model is presented in which a global symmetry prevents neutrinos from acquiring a mass, avoids flavor changing neutral current effects and predicts the existence, in one case, of an absolutely stable quark or lepton.

Is there an exceptional group in your future? E7 and the travails of the symmetry breaking

We present the group theoretical analysis of a likely symmetry breaking for the vector-like unified theory based on E7. The (proton stabilizing) breaking is effected by means of a set of Higgs fields transforming according to the 912, leaving an effective SU3 × SU3c theory. We note that a nilpotent breaking for the quark mass matrix yields the SU3 limit, as well as a determination of the relative left to right angle in the weak current demanded by the GIM mechanism. No evident correlation between quark and lepton masses emerges. The lepton current contains both doublets and triplets of SU2wk. While the quark neutral current is necessarily parity violating, the electron part of the lepton neutral current may be chosen to be purely vectorial. Appropriate phenomenological conclusions are drawn.

“Prepotentials” in a superspace formulation of supergravity

Certain of the superspace equations in our previous work are utilized to express the superconnection and vielbein in terms of a much smaller set of fields, the prepotentials, which include chiral coordinates of curved superspace.

Constraints on Higgs couplings from axionatics

Abstract The dependence of the axion mass on the number and coupling of the Higgs bosoms is emphasized. In particular, by requiring a unification of Yukuwa and gauge couplings, the axion mass can be enhanced by a factor of the W-bosom mass over a light quark mass. We present a Higgs extension of the Weinberg-Salam model in which this idea is realized. We discuss the limitations of current algebra techniques for deducing axion properties.