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A left-right symmetric model à la Connes-Lott

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Abstract

We present a left-right symmetric model with the gauge group U(2)L × U(2)R within the Connes-Lott noncommutative framework. Its gauge symmetry is spontaneously broken, although parity remains unbroken.

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References

  1. Connes, A., Non-commutative geometry,Publ. Math. IHES 62 (1985); Connes, A. and Lott, J.,Nuclear Phys. Proc. Suppl. B 18, 29 (1989); Connes, A.,Non-Commutative Geometry, Academic Press, New York, 1994; Connes, A. and Lott, J., The metric aspect of non-commutative geometry, in J. Fröhlichet al., (eds),Proc. 1991 Cargèse Summer Conference, Plenum Press, New York, 1992.

    Google Scholar 

  2. Kastler, D.,Rev. Math. Phys. 5, 477 (1993); Kaster, D., State of the art of Alain Connes' version of the standard model, in H. Arakiet al. (eds),Quantum and Non-commutative Analysis, Kluwer Academic Pubs. Dordrecht, 1993; Kastler, D. and Mebkhout, M.,Lectures on Non-Commutative Differential Geometry, World Scientific, Singapore, to be published; Kastler, D. and Schücker, T.,Theoret. Math. Phys. 92, 522 (1992).

    Google Scholar 

  3. Várilly, J. C. and Gracia-Bondía, J. M.,J. Geom. Phys. 12, 223 (1993).

    Google Scholar 

  4. Schücker T. and Zylinski, J.-M., Connes' model building kit, CPT-93/P.2960.

  5. Binétruy, P., Gaillard, M. K., and Kunszt, Z.,Nuclear Phys. B 144, 141 (1978).

    Google Scholar 

  6. Chamseddine, A. and Fröhlich, J., SO(10) Unification in non-commutative geometry, ZU-TH-10/1993, ETH/TH/93-12.

  7. Dubois-Violette, M.,C.R. Acad. Sci. Paris Ser I 307, 403 (1988); Dubois-Violette, M., Kerner, R., and Madore, J.,Phys. Lett. 217B (1989);Classical Quantum Gravity 6, 1709 (1989);J. Math. Phys,31, 316 (1990);J. Math. Phys. 31, 323 (1990);Classical Quantum Gravity 8, 1077 (1991); Grosse, H. and Madore, J.,Phys. Lett. 283B, 218 (1992); Madore, J.,Modern Phys. Lett. A4, 2617 (1989);J. Math. Phys. 32, 332 (1991);Internat. J. Modern Phys. A6, 1287 (1991);Phys. Lett. 305B, 84 (1993); Balakrishna, B. S., Gürsey, F., and Wali, K. C.,Phys. Lett. 254B, 430 (1991);Phys. Rev. D 44, 3313 (1991).

    Google Scholar 

  8. Coquereaux, R., Esposito-Farèse, G., and Vaillant, G.,Nuclear Phys. B353, 689 (1991); Coquereaux, R., Esposito-Farèse, G., and Scheck, F.,Internat. J. Modern Phys. A7, 6555 (1992); Häußling, R., Papadopoulos, N. A., and Scheck, F.,Phys. Lett. 260B, 125 (1991);Phys. Lett. 303B, 265 (1993); Coquereaux, R., Häußling, R., Papadopoulos, N. A., and Scheck, F.,Internat. J. Modern Phys. A7, 2809 (1992); Scheck, F.,Phys. Lett. 284B, 303 (1992); Coquereaux, R., Häußling, R., and Scheck, F., Algebraic connections on parallel universes, Preprint Universities of Macquarie and Mainz, 1993; Papadopoulos, N. A., Plass, J., and Scheck, F.,Phys. Lett. 323 B, 380 (1994).

    Google Scholar 

  9. Hanlon, B. E. and Joshi, G. C.,Lett. Math. Phys. 27, 105 (1993); A partial unification model in non-commutative geometry,J. Geom. Phys., in press.

    Google Scholar 

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Iochum, B., Schücker, T. A left-right symmetric model à la Connes-Lott. Lett Math Phys 32, 153–166 (1994). https://doi.org/10.1007/BF00739424

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