Erratum: Irreducible representations of SU(m/n) [J. Math. Phys. 2
 4, 157 (1983)]

Hurni, Jean-Pierre; Morel, Bernard

doi:10.1063/1.525939

Cited by 14 publications

(22 citation statements)

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“…It is convenient to decompose the irreducible representations of [11][12][13], and we will forget about the U(1)'s from now on. The subscript denotes where the SU(3) acts, either on the valence q's, on the sea q's, or on theq's.…”

Section: B the Baryonsmentioning

confidence: 99%

Baryons in partially quenched chiral perturbation theory

Chen

Savage

2002

Phys. Rev. D

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We include the lowest-lying octet-and decuplet-baryons into partially quenched chiral perturbation theory. Perturbing about the chiral limit of the graded SU (6|3) L ⊗ SU (6|3) R flavor group of partially quenched QCD, we compute the leading one-loop contributions to the octet-baryon masses, magnetic moments and matrix elements of isovector twist-2 operators. We work in the isospin limit and keep two of the three sea quarks degenerate. The usefulness of the non-unique extension of the electric charge matrix and the isovector twist-2 operators from QCD to partially quenched QCD is discussed.

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Section: B the Baryonsmentioning

confidence: 99%

Baryons in partially quenched chiral perturbation theory

Chen

Savage

2002

Phys. Rev. D

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“…It is convenient to decompose the irreducible representations of SU(3|3) V into irreducible representations SU(3) q ⊗SU(3)q ⊗U(1) [19][20][21], and we will forget about the U(1)'s from now on. The subscript denotes where the SU(3) acts, either on the q's or on theq's.…”

Section: B the Octet Baryonsmentioning

confidence: 99%

The magnetic moments of the octet baryons in quenched chiral perturbation theory

Savage¹

2002

Nuclear Physics A

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“…This gives the anomaly free-set of SU(3 + P ) × SU(P ) × U(1) fermion multiplets ( [3], (0)) −P + ( [2], (1)) (P +1) + ( [1], (2)) −(P +2) + ([0], (3)) P +3 , (…”

Section: Jhep10(2017)128mentioning

confidence: 99%

“…It was shown in [1] that interesting sets of fermions that are anomaly-free under groups of the form SU(M ) × SU(N ) × U(1) can be found by decomposing multiplets of the supergroup SU(M |N ) [2]. The idea is based on the fact that the Casimirs of SU(M |N ) only depend on (M − N ).…”

Section: Introductionmentioning

confidence: 99%

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Families from supergroups and predictions for leptonic CP violation

Barr

Chen

2017

J. High Energ. Phys.

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As was shown in 1984 by Caneschi, Farrar, and Schwimmer, decomposing representations of the supergroup SU(M |N ), can give interesting anomaly-free sets of fermion representations of SU(M ) × SU(N ) × U(1). It is shown here that such groups can be used to construct realistic grand unified models with non-abelian gauged family symmetries. A particularly simple three-family example based on SU(5) × SU(2) × U(1) is studied. The forms of the mass matrices, including that of the right-handed neutrinos, are determined in terms of SU(2) Clebsch coefficients; and the model is able to fit the lepton sector and predict the Dirac CP-violating phase of the neutrinos. Models of this type would have a rich phenomenology if part of the family symmetry is broken near the electroweak scale.

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Erratum: Irreducible representations of SU(m/n) [J. Math. Phys. 2 4, 157 (1983)]

Cited by 14 publications

References 0 publications

Baryons in partially quenched chiral perturbation theory

Baryons in partially quenched chiral perturbation theory

The magnetic moments of the octet baryons in quenched chiral perturbation theory

Families from supergroups and predictions for leptonic CP violation

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