Complete intersection fibers in F-theory
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  • 作者:Volker Braun (1)
    Thomas W. Grimm (2)
    Jan Keitel (2)

    1. Mathematical Institute
    ; University of Oxford ; 24-29 St Giles鈥? Oxford ; OX1 3LB ; U.K.
    2. Max-Planck-Institut f眉r Physik
    ; F枚hringer Ring 6 ; 80805 ; Munich ; Germany
  • 关键词:F ; Theory ; M ; Theory
  • 刊名:Journal of High Energy Physics
  • 出版年:2015
  • 出版时间:March 2015
  • 年:2015
  • 卷:2015
  • 期:3
  • 全文大小:608 KB
  • 参考文献:1. Vafa, C (1996) Evidence for F-theory. Nucl. Phys. B 469: pp. 403 CrossRef
    2. Braun, V, Morrison, DR (2014) F-theory on genus-one fibrations. JHEP 08: pp. 132 CrossRef
    3. Candelas, P, Font, A (1998) Duality between the webs of heterotic and type-II vacua. Nucl. Phys. B 511: pp. 295 CrossRef
    4. Bershadsky, M (1996) Geometric singularities and enhanced gauge symmetries. Nucl. Phys. B 481: pp. 215 CrossRef
    5. Candelas, P, Perevalov, E, Rajesh, G (1997) Toric geometry and enhanced gauge symmetry of F-theory/heterotic vacua. Nucl. Phys. B 507: pp. 445 CrossRef
    6. Grimm, TW, Weigand, T (2010) On Abelian gauge symmetries and proton decay in global F-theory GUTs. Phys. Rev. D 82: pp. 086009
    7. Morrison, DR, Park, DS (2012) F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds. JHEP 10: pp. 128 CrossRef
    8. Braun, V, Grimm, TW, Keitel, J (2013) New global F-theory GUTs with U(1) symmetries. JHEP 09: pp. 154
    9. Grimm, TW, Kapfer, A, Keitel, J (2013) Effective action of 6D F-theory with U(1) factors: rational sections make Chern-Simons terms jump. JHEP 07: pp. 115 CrossRef
    10. M. Kuntzler and S. Sch盲fer-Nameki, / Tate trees for elliptic fibrations with rank one Mordell-Weil group, arXiv:1406.5174 [INSPIRE].
    11. Borchmann, J, Mayrhofer, C, Palti, E, Weigand, T (2014) SU(5) tops with multiple U(1)s in F-theory. Nucl. Phys. B 882: pp. 1 CrossRef
    12. Cveti膷, M, Klevers, D, Piragua, H (2013) F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections. JHEP 06: pp. 067 CrossRef
    13. Cveti膷, M, Grassi, A, Klevers, D, Piragua, H (2014) Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors. JHEP 04: pp. 010 CrossRef
    14. Borchmann, J, Mayrhofer, C, Palti, E, Weigand, T (2013) Elliptic fibrations for SU(5) 脳 U(1) 脳 U(1) F-theory vacua. Phys. Rev. D 88: pp. 046005
    15. Cveti膷, M, Klevers, D, Piragua, H, Song, P (2014) Elliptic fibrations with rank three Mordell-Weil group: F-theory with U(1) 脳 U(1) 脳 U(1) gauge symmetry. JHEP 03: pp. 021 CrossRef
    16. Braun, V, Grimm, TW, Keitel, J (2013) Geometric engineering in toric F-theory and GUTs with U(1) gauge factors. JHEP 12: pp. 069 CrossRef
    17. Klevers, D, Mayorga Pena, DK, Oehlmann, P-K, Piragua, H, Reuter, J (2015) F-theory on all toric hypersurface fibrations and its Higgs branches. JHEP 01: pp. 142 CrossRef
    18. D.R. Morrison and W. Taylor, / Sections, multisections and U(1) / fields in F-theory, arXiv:1404.1527 [INSPIRE].
    19. Anderson, LB, Garc铆a-Etxebarria, I, Grimm, TW, Keitel, J (2014) Physics of F-theory compactifications without section. JHEP 12: pp. 156 CrossRef
    20. Garc铆a-Etxebarria, I, Grimm, TW, Keitel, J (2014) Yukawas and discrete symmetries in F-theory compactifications without section. JHEP 11: pp. 125 CrossRef
    21. Mayrhofer, C, Palti, E, Till, O, Weigand, T (2014) Discrete gauge symmetries by higgsing in four-dimensional F-theory compactifications. JHEP 12: pp. 068 CrossRef
    22. C. Mayrhofer, E. Palti, O. Till and T. Weigand, / On discrete symmetries and torsion homology in F-theory, arXiv:1410.7814 [INSPIRE].
    23. Grimm, TW, Kerstan, M, Palti, E, Weigand, T (2011) Massive Abelian gauge symmetries and fluxes in F-theory. JHEP 12: pp. 004 CrossRef
    24. Braun, AP, Collinucci, A, Valandro, R (2014) The fate of U(1)鈥檚 at strong coupling in F-theory. JHEP 07: pp. 028 CrossRef
    25. Mayrhofer, C, Palti, E, Weigand, T (2013) U(1) symmetries in F-theory GUTs with multiple sections. JHEP 03: pp. 098 CrossRef
    26. Braun, V (2013) Toric elliptic fibrations and F-theory compactifications. JHEP 01: pp. 016 CrossRef
    27. Berglund, P, Hubsch, T (1995) On a residue representation of deformation, Koszul and chiral rings. Int. J. Mod. Phys. A 10: pp. 3381 CrossRef
    28. Deligne, P (1975) Courbes elliptiques: formulaire d鈥檃pr猫s J. Tate (in French), in Modular functions of one variable, IV (Proc. Internat. Summer School, Univ. Antwerp, Antwerp Belgium 1972). Lect. Notes Math. 476: pp. 53 CrossRef
    29. An, SY (2001) Jacobians of genus one curves. J. Number Theor. 90: pp. 304 CrossRef
    30. Sage Development Team collaboration, W. Stein et al., / Sage mathematics software (version 6 / .2 / ), http://www.sagemath.org/, (2014).
    31. J.J. Duistermaat, / Discrete integrable systems. QRT maps and elliptic surfaces, Springer Monographs in Mathematics, Springer, Berlin Germany (2010).
    32. G. Salmon, / A treatise on conic sections: containing an account of some of the most important modern algebraic and geometric methods, Chelsea Publishing Series, Chelsea Publishing Company, U.S.A. (1954).
    33. Sage Development Team collaboration, V. Braun and J. Keitel, / Invariants of two ternary quadratics, http://trac.sagemath.org/17305, (2013).
    34. Batyrev, VV (1994) Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties. J. Alg. Geom. 3: pp. 493
    35. V.V. Batyrev and L.A. Borisov, / On Calabi-Yau complete intersections in toric varieties, alg-geom/9412017 [INSPIRE].
    36. Kreuzer, M, Skarke, H (1998) Classification of reflexive polyhedra in three-dimensions. Adv. Theor. Math. Phys. 2: pp. 847
    37. Kreuzer, M, Skarke, H (2002) Complete classification of reflexive polyhedra in four-dimensions. Adv. Theor. Math. Phys. 4: pp. 1209
    38. Kreuzer, M, Skarke, H (2004) PALP: a package for analyzing lattice polytopes with applications to toric geometry. Comput. Phys. Commun. 157: pp. 87 CrossRef
    39. J.H. Silverman, / The arithmetic of elliptic curves, Graduate Texts in Mathematics 106, Springer, Germany (2009).
    40. Sage Development Team collaboration, A. Novoseltsev, / Lattice polytope module for Sage, http://www.sagemath.org/doc/reference/geometry/sage/geometry/lattice_polytope.html, (2010).
    41. Sage Development Team collaboration, / Toric geometry module for Sage, http://www.sagemath.org/doc/reference/schemes/sage/schemes/toric/variety.html, (2013).
    42. W. Decker, G.-M. Greuel, G. Pfister and H. Sch枚nemann, Singular 3 / -1 / -6 鈥? / a computer algebra system for polynomial computations, http://www.singular.uni-kl.de/, (2012).
    43. Candelas, P, Constantin, A, Skarke, H (2013) An abundance of K3 fibrations from polyhedra with interchangeable parts. Commun. Math. Phys. 324: pp. 937 CrossRef
    44. Bouchard, V, Skarke, H (2003) Affine Kac-Moody algebras, CHL strings and the classification of tops. Adv. Theor. Math. Phys. 7: pp. 205 CrossRef
    45. Grimm, TW, Hayashi, H (2012) F-theory fluxes, chirality and Chern-Simons theories. JHEP 03: pp. 027 CrossRef
    46. Cveti膷, M, Grimm, TW, Klevers, D (2013) Anomaly cancellation and Abelian gauge symmetries in F-theory. JHEP 02: pp. 101 CrossRef
    47. M. Esole, J. Fullwood and S.-T. Yau, / D 5 / elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory, arXiv:1110.6177 [INSPIRE].
    48. Mayrhofer, C, Morrison, DR, Till, O, Weigand, T (2014) Mordell-Weil torsion and the global structure of gauge groups in F-theory. JHEP 10: pp. 016 CrossRef
    49. Grassi, A, Morrison, DR (2012) Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds. Commun. Num. Theor. Phys. 6: pp. 51 CrossRef
    50. Long, C, McAllister, L, McGuirk, P (2014) Heavy tails in Calabi-Yau moduli spaces. JHEP 10: pp. 187 CrossRef
    51. Morrison, DR, Taylor, W (2012) Classifying bases for 6D F-theory models. Central Eur. J. Phys. 10: pp. 1072 CrossRef
    52. Morrison, DR, Taylor, W (2012) Toric bases for 6D F-theory models. Fortsch. Phys. 60: pp. 1187 CrossRef
    53. Grimm, TW, Taylor, W (2012) Structure in 6D and 4D N = 1 supergravity theories from F-theory. JHEP 10: pp. 105 CrossRef
    54. G. Martini and W. Taylor, 6 / D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces, arXiv:1404.6300 [INSPIRE].
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Elementary Particles and Quantum Field Theory
    Quantum Field Theories, String Theory
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1029-8479
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