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Ceresole, A.; D'Auria, R.; Regge, T. (1993)
Languages: English
Types: Preprint
Subjects: High Energy Physics - Theory

Classified by OpenAIRE into

arxiv: Mathematics::Algebraic Geometry, Mathematics::Symplectic Geometry
We present an efficient method for computing the duality group $\Gamma$ of the moduli space \cM for strings compactified on a Calabi-Yau manifold described by a two-moduli deformation of the quintic polynomial immersed in $\CP(4)$, $\cW={1\over5}(\iy_1^5+\cdots+\iy_5^5)-a\,\iy_4^3 \iy_5^2 -b\, \iy_4^2 \iy_5^3$. We show that $\Gamma$ is given by a $3$--dimensional representation of a central extension of $B_5$, the braid group on five strands.
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    • 1. K. Kikkawa and M. Yamasaki, Phys. Lett. 149B (1984) 357; N. Sakai and L. Senda, Progr. Theor. Phys. 75 (1986) 692; V.P. Nair, A. Shapere, A. Strominger and F. Wilczek, Nucl. Phys. B287 (1987) 402; A. Giveon, E. Rabinovici and G. Veneziano, Nucl. Phys. B322 (1989) 167; A. Shapere and F. Wilczek, Nucl. Phys. B320 (1989) 167; M. Dine, P. Huet and N. Seiberg, Nucl. Phys. B322 (1989) 301; J. Molera and B. Ovrut, Phys. Rev. D40 (1989) 1150; J. Lauer, J. Maas and H.P. Nilles, Phys. Lett. B226 (1989) 251 and Nucl. Phys. B351 (1991) 353; W. Lerche, D. Lu¨st and N.P. Warner, Phys. Lett. B231 (1989) 418; M. Duff, Nucl. Phys. B335 (1990) 610; A. Giveon and M. Porrati, Phys. Lett. B246 (1990) 54 and Nucl. Phys. B355 (1991) 422; Giveon, N. Malkin and E. Rabinovici, Phys. Lett. B238 (1990)
    • 4. D. Morrison, Essays on Mirror manifolds, S.T.Yau Editor, Intenational Press (1992); A. Font, Nucl. Phys B391 (1993) 358; A. Klemm and S. Theisen, Nucl Phys. B389 (1993) 153;
    • 5. P.Candelas, private communication and talk held at ”Eloisatron Project”, Erice , December 1992; P. Candelas, X. De La Ossa, A. Font, S. Katz and D. R. Morrison, ”Mirror Symmetry for Two Parameter Models-I”, CERNTH.6884/93, in preparation;
    • 6. R. D'Auria and S. Ferrara, “ String Quantum Symmetries From PicardFuchs Equations And Their Monodromy”, CERN-TH.6777/93 , POLFISTH.24/93;
    • 7. T. Regge, “The Fundamental Group Of Poincar´e And The Analytic Properties Of Feynman Relativistic Amplitudes” Nobel Symposium Series VIII (1968); G. Ponzano and T. Regge, Proceedings of the Varna Conference (1968);
    • 8. G. Ponzano, T. Regge, E. R. Speer and M. J. Westwater, Commun. Math. Phys. 15 (1969) 83 and Commun. Math. Phys. 18 (1970) 1;
    • 9. See O. Zariski, “Algebraic Surfaces”, II ed., Springer- Verlag (1971);
    • 11. E. R. van Kampen, Amer. J. Math. 55 (1933) 255;
    • 12. A. Strominger, Commun. Math. Phys. 133 (1990) 163; L. Castellani, R. D'Auria and S. Ferrara, Phys. Lett. B241 (1990) 57; L. Castellani, R. D'Auria and S. Ferrara, Class. Quant. Grav. 1 (1990) 317;
    • 13. A. Ceresole, R. D'Auria, S. Ferrara, W. Lerche and J. Louis, Int.Jou.Mod.Phys. A8 (1993) 79;
    • 14. L.J. Dixon, V.S. Kaplunovsky and J. Louis, Nucl. Phys. B329 (1990) 27;
    • 15. E. Cremmer and A. Van Proyen, Class. Quantum Grav. 2 (1985) 445
    • 16. A. Cadavid and S. Ferrara, Phys. Lett. B267 (1991) 193;
    • 17. W. Lerche, D. Smit and N. Warner, Nucl. Phys. B372 (1992) 87;
    • 18. V. I. Arnold, S. M. Gusein-Zade and A. N. Varchenko, Singularities of Differentiable Maps Vol bf II (Birkh¨auser).
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