The Nonlinear Supersymmetric $\sigma$ Model on E6 / SO(10) X U(1)

Achiman, Yoav; Aoyama, S.; van Holten, J.W.

doi:10.1016/0370-2693(84)90560-4

The Nonlinear Supersymmetric $\sigma$ Model on E6 / SO(10) X U(1)

Mar, 1984

5 pages

Published in:

Phys.Lett.B 141 (1984) 64

Published: 1984

DOI:

10.1016/0370-2693(84)90560-4

Report number:

Print-84-0254 (CERN)

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Abstract: (Elsevier)

We give the explicit SO (10) × U (1) decomposition of the E 6 algebra. On this basis we find a non-linear realization of the E 6 SO (10) × U (1) coset space. We obtain the Kähler potential of this manifold in closed form and use it to construct the corresponding supersymmetric σ model. It involves a 16 family of quasi-Goldstone fermions whose four-fermion interactions are effectively those of an SO(10) GUT. Possible applications are briefly discussed.

SUPERSYMMETRY
ALGEBRA: group: exceptional
SYMMETRY: E(6)/SO(10) X U(1)
POTENTIAL: KAEHLER
FIELD THEORETICAL MODEL: SIGMA
FIELD THEORY: NONLINEAR
commutation relations
GRAND UNIFIED THEORY: SO(10)

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Figures(0)

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The Nonlinear Supersymmetric σ\sigmaσ Model on E6 / SO(10) X U(1)

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The Nonlinear Supersymmetric $\sigma$ Model on E6 / SO(10) X U(1)