Abstract
We construct new manifolds with SU(3) holonomy that are candidate vacua for superstring theory and give a detailed explanation of the techniques involved. Some of these manifolds have a non-abelian fundamental group and thus can lead to a rank five low energy gauge group. Models with an odd number of generations are obtained.CP violation is discussed in this context and shown to occur generically. Topological features of the Yukawa couplings are also discussed.
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Green, M.B., Schwarz, J.H.: Anomaly cancellations in supersymmetricD=10 gauge theory and superstring theory. Phys. Lett.149 B, 117 (1983)
Green, M.B., Schwarz, J.H.: Supersymmetrical dual string theory. Nucl. Phys. B181, 502 (1981); Supersymmetric dual string theory (II.) Vertices and trees. Nucl. Phys. B198, 252 (1982); Supersymmetrical dual string theory (III.) Loops and renormalization. Nucl. Phys. B198, 441 (1982); Supersymmetrical string theories. Phys. Lett.109 B, 444 (1982)
Green, M.B., Schwarz, J.H. Brink, L.:N=4 Yang-Mills andN=8 supergravity as limits of string theories. Nucl. Phys. B198, 474 (1982)
Gross, D.J., Harvey, J., Martinec, E., Rohm, R.: Heterotic string. Phys. Rev. Lett.524 502 (1985). See also Freund, P.G.O.: Superstrings from 26 dimensions. Phys. Lett.151 B, 387 (1985); Goddard, P., Olive, D.: In proceeding of the Conference on Vertex Operations in Mathematics and Physics, ed. J. Lepowsky et al. Berlin, Heidelberg, New York: Springer 1984
Candelas, P., Horowitz, G., Strominger, A., Witten, E.: Vacuum configurations for superstrings. Nucl. Phys. B (1985) (to appear)
Witten, E.: Symmetry breaking in superstring models and dimensional reduction of superstring models. Princeton preprints (1985)
Dine, M., Kaplunovsky, V., Mangano, M., Nappi, C., Seiberg, N.: Superstring model building. IAS preprint (1985)
Dine, M., Rohm, R., Seiberg, N., Witten, E.: Gluino condensation in superstring models. IAS preprint (1985)
Nepomechie, R., Wu, Yong-Shi, Zee, A.: University of Washington preprint (1985)
Cecotti, S., Derendinger, J.-P., Ferraro, S., Girardello, L., Roncadelli, M.: CERN preprint (1985)
Breit, J., Ovrut, B., Segre, G.:E 6 symmetry breaking in the superstring theory. University of Pennsylvania preprint (1985)
Sen, A.: Naturally light Higgs doublet in supersymmetricE 6 grand unified theory. Fermilab preprint (1985)
Georgi, H., Glashow, S.: Making do without thet quark. Nucl. Phys.167 B, 173 (1980)
Kane, G., Peskin, M.: A constraint fromB decay on models with no t quark. Nucl. Phys. B195, 29 (1982)
Griffiths, P., Harris, J.: Principles of Algebraic Geometry. New York: Wiley 1978
Calabi, E.: Ann. Sci. Ec. Norm. Super.12, 266 (1979)
Eguchi, T., Hanson, A.S.: Asymptotically flat self-dual solutions to euclidean gravity. Phys. Lett.74 B, 249 (1978)
Freedman, D.Z., Gibbons, G.W.: In Superspace and supergravity, p. 449. Cambridge: Cambridge University Press 1981
Yau, S.-T.: In: Proceedings of the Argonne Symposium on Anomalies. Geometry and Topology (to appear)
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Communicated by A. Jaffe
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Strominger, A., Witten, E. New manifolds for superstring compactification. Commun.Math. Phys. 101, 341–361 (1985). https://doi.org/10.1007/BF01216094
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DOI: https://doi.org/10.1007/BF01216094