Searching for K3 fibrations

Nuclear Physics B

Volumn 494, Issue 3, 1997, Pages 567-589

  Avram, A C ^a   Kreuzer, M ^b   Mandelberg, M ^c   Skarke, H ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Calabi Yau compactifications of string theory; K3 fibrations

Indexed keywords

EID: 0031575029     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00214-9     Document Type: Article

References (22)

1. [1] R Candelas, G. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings, Nucl. Phys. B 258 (1985) 46.
2. [2] P. Candelas, A. Dale, C. Lütken and R. Schimmrigk, Complete intersection Calabi-Yau manifolds, Nucl. Phys. B 298 (1988) 493.
3. [3] S. Yau and G. Tian, in Proc. Argonne Symposium on Anomalies, Geometry and Topology, ed. W. Bardeen and A. White (World Scientific, Singapore, 1985).
4. [4] M. Kreuzer and H. Skarke, No mirror symmetry in Landau-Ginzburg spectral, hep-th/9205004, Nucl. Phys. B 388 (1992) 113.
5. [5] A. Klemm and R. Schimmrigk, Landau-Ginzburg string vacua, hep-th/9204060, Nucl. Phys. B 411 (1994) 559.
6. [6] V.V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, alg-geom/9310003, J. Alg. Geom. 3 (1994) 493.
7. [7] M. Kreuzer and H. Skarke, On the classification of reflexive polyhedra, hep-th/9512204, TUW-95-26.
8. [8] H. Skarke, Weight systems for toric Calabi-Yau varieties and reflexivity of Newton polyhedra, Mod. Phys. Lett. A 11 (1996) 1637.
9. [9] S. Kachru and C. Vafa, Exact results for N = 2 compactifications of heterotic strings, Nucl. Phys. B 450 (1995) 69.
10. [10] N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19; Monopoles, duality and chiral symmetry breaking in W = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484.
11. [10] N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19; Monopoles, duality and chiral symmetry breaking in W = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484.
12. [11] A. Klemm, W. Lerche and P. Mayr, K3 fibrations and heterotic type II string duality, Phys. Lett. B 357 (1995) 313.
13. [12] M. Lynker and R. Schimmrigk, Conifold transitions and mirror symmetries, hep-th/9511058; B. Hunt and R. Schimmrigk, Heterotic gauge structure of type II K3 fibrations, hep-th/9512138.
14. [12] M. Lynker and R. Schimmrigk, Conifold transitions and mirror symmetries, hep-th/9511058; B. Hunt and R. Schimmrigk, Heterotic gauge structure of type II K3 fibrations, hep-th/9512138.
15. [13] S. Hosono, B.H. Lian and S.-T. Yau, Calabi-Yau Varieties and pencils of K3 surfaces, alg-geom/9603020.
16. [14] P. Aspinwall and J. Louis, On the ubiquity of K3 fibrations in string duality, Phys. Lett. B 369 (1996) 233.
17. [15] P. Candelas and A. Font, Duality between the webs of heterotic and type II vacua, hep-th/9603170, UTTG-04-96.
18. [16] W. Fulton, Introduction to Toric Varieties (Princeton University Press, Princeton, 1993).
19. [17] D. Cox, The homogeneous coordinate ring or a toric variety, J. Alg. Geom. 4 (1995) 17.
20. [18] M. Audin, The Topology of Torus Actions on Symplectic Manifolds, Progress in Math. 93 (Birkhäuser, Basel, 1991).
21. [19] E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159.
22. [20] M. Kreuzer and H. Skarke, All Abelian symmetries of Landau-Ginzburg potentials, Nucl. Phys. B 405 (1993) 305.