Supersymmetric composite models with preons in two hypercolor representations

R. R. Volkas; G. C. Joshi

doi:10.1103/PhysRevD.32.2431

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Supersymmetric composite models with preons in two hypercolor representations

R. R. Volkas and G. C. Joshi

School of Physics, University of Melbourne, Parkville, Victoria 3052 Australia

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Phys. Rev. D 32, 2431 – Published 1 November, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.2431

Abstract

Supersymmetric composite models with preons in either of two hypercolor representations $R_{1}$ and $R_{2}$ such that $R_{1}$ × $R_{2}$ × $R_{2}$ ⊃1 are studied. Chirality preservation is investigated by using the ’t Hooft anomaly-matching equations and the decoupling theorem. No solutions to these equations are found if R symmetry is assumed to survive supersymmetry breaking. Solutions exist if R symmetry is assumed to break, and the embedding of SU(3)×SU(2)×U(1) in the chiral-symmetry group is considered.

References (10)

G. 't Hooft, in Recent Developments in Gauge Theories, proceedings of the NATO Advanced Study Institute, Carge`se, 1979, edited by G. 't Hooft et al.. (Plenum, New York, 1980).
W. A. Bardeen and V. Visnjić, Nucl. Phys. 194, 422 (1982).
W. Buchmüller, R. D. Peccei, and T. Yanagida, Phys. Lett. 124, 67 (1983); Nucl. Phys. B227, 503 (1983) W. Buchmüller, and U. Ellwanger, ibid. B vec 245, 237 (1984); O. W. Greenberg, R. N. Mohapatra and M. Yasue, Phys. Rev. Lett. 51, 1737 (1983); R. N. Mohapatra, M. Yasue, and O. W. Greenberg, Nucl. Phys. 237, 189 (1984); R. Barbieri, A. Masiero, and G. Veneziano, Phys. Lett. 128, 179 (1983); P. H. Frampton and G. Mandelbaum, ibid. 133 B vec, 311 (1983).
W. Buchmüller and S. T. Love, Nucl. Phys. 204, 213 (1982); G. Veneziano, Phys. Lett. 124, 357 (1983).
J.-M. Gérard, Phys. Lett. 116, 29 (1982); Nucl. Phys. 234, 138 (1984); S. Takeshita, Prog. Theor. Phys. 68, 912 (1982); R. R. Volkas and G. C. Joshi, Melbourne Report No. UM-P-84/45, 1984 (unpublished).
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T. Applequist and J. Carazzone, Phys. Rev. D 11, 2856 (1975).
G. Black, University of Canterbury report, 1983 (unpublished).
A. Schwimmer, Nucl. Phys. 198, 269 (1982).
D. R. T. Jones, Nucl. Phys. B vec 87, 127 (1975); S. Browne et al.., ibid. B vec 99, 150 (1975).

[c1] G. 't Hooft, in Recent Developments in Gauge Theories, proceedings of the NATO Advanced Study Institute, Carge`se, 1979, edited by G. 't Hooft et al.. (Plenum, New York, 1980).

[c2] W. A. Bardeen and V. Visnjić, Nucl. Phys. 194, 422 (1982).

[c3] W. Buchmüller, R. D. Peccei, and T. Yanagida, Phys. Lett. 124, 67 (1983); Nucl. Phys. B227, 503 (1983) W. Buchmüller, and U. Ellwanger, ibid. B vec 245, 237 (1984); O. W. Greenberg, R. N. Mohapatra and M. Yasue, Phys. Rev. Lett. 51, 1737 (1983); R. N. Mohapatra, M. Yasue, and O. W. Greenberg, Nucl. Phys. 237, 189 (1984); R. Barbieri, A. Masiero, and G. Veneziano, Phys. Lett. 128, 179 (1983); P. H. Frampton and G. Mandelbaum, ibid. 133 B vec, 311 (1983).

[c4] W. Buchmüller and S. T. Love, Nucl. Phys. 204, 213 (1982); G. Veneziano, Phys. Lett. 124, 357 (1983).

[c5] J.-M. Gérard, Phys. Lett. 116, 29 (1982); Nucl. Phys. 234, 138 (1984); S. Takeshita, Prog. Theor. Phys. 68, 912 (1982); R. R. Volkas and G. C. Joshi, Melbourne Report No. UM-P-84/45, 1984 (unpublished).

[c6] I. Bars, Nucl. Phys. 208, 77 (1982).

[c7] T. Applequist and J. Carazzone, Phys. Rev. D 11, 2856 (1975).

[c8] G. Black, University of Canterbury report, 1983 (unpublished).

[c9] A. Schwimmer, Nucl. Phys. 198, 269 (1982).

[c10] D. R. T. Jones, Nucl. Phys. B vec 87, 127 (1975); S. Browne et al.., ibid. B vec 99, 150 (1975).

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Supersymmetric composite models with preons in two hypercolor representations

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