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Prog. Theor. Phys. Vol. 75 No. 2 (1986) pp. 386-426

[ Full Text PDF : FREE ACCESS (1977K) ]

Supersymmetric Non-Linear Lagrangians of Kählerian Coset Spaces G/H: G=E6, E7 and E8

Katsumi Itoh, Taichiro Kugo and Hiroshi Kunitomo

Department of Physics, Kyoto University, Kyoto 606

(Received August 7, 1985)

Abstract:

A simple and general procedure is given for constructing supersymmentric nonlinear σ model Lagrangian explicitly for any Kählerian coset space G/H. In particular, we derive explicit and full expressions of supersymmetric Lagrangians for the phenomenologically important manifolds G/H=E7/SU(5)×SU(3)×SU(1) and E8 /SO(10)×SU(3)×U(1), which are known to contain three generations of quarks and leptons as Nambu-Goldstone (NG) superfields. We discuss also (1) the arbitrariness of the choice of NG superfields when H contains more than one dimensional center, (2) how to gauge any subgroup of G and how to couple the system to supergravity, (3) a new anomaly of the supersymmetric nonlinear σ models induced by supergravity, etc.


URL : http://ptp.ipap.jp/link?PTP/75/386/
DOI : 10.1143/PTP.75.386

[ Full Text PDF : FREE ACCESS (1977K) ] Citation:

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  5. Progress of Theoretical Physics Vol. 101 No. 6 (1999) pp. 1313-1333 :
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  6. Progress of Theoretical Physics Vol. 103 No. 3 (2000) pp. 635-663 :
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  8. Progress of Theoretical Physics Vol. 106 No. 3 (2001) pp. 671-690 :
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  9. Progress of Theoretical Physics Vol. 124 No. 4 (2010) pp. 555-565 :
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