RT Journal Article T1 Constraining the Kahler moduli in the heterotic standard model A1 Gómez, Tomás L. A1 Lukic, Sergio A1 Sols, Ignacio AB Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vector bundles, constrain the set of Kahler moduli which give rise to realistic compactifications of the strongly coupled heterotic string. When vector bundles are constructed using extensions, we provide simple rules to determine lower and upper bounds to the region of the Kahler moduli space where such compactifications can exist. We show how small these regions can be, working out in full detail the case of the recently proposed Heterotic Standard Model. More explicitly, we exhibit Kahler classes in these regions for which the visible vector bundle is stable. On the other hand, there is no polarization for which the hidden bundle is stable. PB Springer SN 0010-3616 YR 2007 FD 2007-11 LK https://hdl.handle.net/20.500.14352/50477 UL https://hdl.handle.net/20.500.14352/50477 LA eng NO Banks, T., Dine, M.: Couplings and Scales in Strongly Coupled Heterotic String Theory. Nucl. Phys. B 479, 173–196 (1996) Braun, V., He, Y-H., Ovrut, B.A., Pantev, T.: Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model. Adv. Theor. Math. Phys. 10, 4 (2006) Braun, V., He, Y-H., Ovrut, B.A., Pantev, T.: Heterotic Standard Model Moduli. JHEP 0601, 025 (2006) Braun, V., He, Y-H., Ovrut, B.A., Pantev, T.: The Exact MSSM Spectrum from String Theory. JHEP 0605, 043 (2006) Braun, V., Ovrut, B.A., Pantev, T., Reinbacher, R.: Elliptic Calabi-Yau Threefolds with Z 3 ×Z 3 Wilson Lines. JHEP 0412, 062 (2004) Curio, G., Krause, A.: Nucl.Phys. B 602, 172–200 (2001) Curio, G., Krause, A.: Nucl.Phys. B 693, 195–222 (2004) Donagi, R., Bouchard, V.: An SU(5) Heterotic Standard Model. Phys. Lett. B 633, 483–791 (2006) Donaldson, S.K., Kronheimer, P.B.: The Geometry of Four-Manifolds. Oxford: Oxford University Press, 1990Douglas, M.R.: The Statistics of String/M -Theory Vacua. JHEP 0305, 046 (2003) Douglas, M.R., Fiol, B., Römelsberger, C.: Stability and BPS branes. JHEP 0509, 006 (2005) Grassi, A., Morrison, D.R.: Automorphisms and the Kähler cone of certain Calabi-Yau manifolds. Duke Math. J. 71, 831–838 (1993) Gukov, S., Kachru, S., Liu, X., McAllister, L.: Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants. Phys. Rev. D 69, 086008 (2004) Hartshorne, R.: Algebraic Geometry. Graduate Texts in Mathematics, No. 52, New York: Springer-Verlag, 1977 Hořava, P., Witten, E.: Eleven-dimensional supergravity on a manifold with boundary. Nucl. Phys. B 475, 94–114 (1996) Joyce, D.D.: Compact Manifolds with Special Holonomy. Oxford: Oxford University Press, 2000 MR1787733 (2001k:53093) Looijenga, E.: Rational surfaces with an anti-canonical cycle. Ann. of Math. (2) 114, 267–322 (1981) Namikawa, Yo.: On the birational structure of certain Calabi-Yau threefolds. J. Math. Kyoto Univ. 31, 151–164 (1991) Schoen, C.: On the fiber products of rational elliptic surfaces with sections. Math. Ann. 197, 177–199 (1988) Sharpe, E.: Kähler Cone Substructure. Adv. Theor. Math. Phys. 2, 1441 (1998) Wilson, P.M.H.: The Kähler cone on Calabi-Yau threefolds. Invent. Math. 107, 561–583 (1992) Witten, E.: Strong coupling expansion of Calabi-Yau compactification. Nucl. Phys. B 471, 135–158 (1996) DS Docta Complutense RD 2 may 2024