Mapping 6D N = 1 supergravities to F-theory

Journal of High Energy Physics

Volumn 2010, Issue 2, 2010, Pages

  Kumar, Vijay ^a   Morrison, David R ^b   Taylor, Washington ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

F theory; Superstring vacua

Indexed keywords

EID: 77954915679     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2010)099     Document Type: Article

References (25)

1. M.B. Green, J.H. Schwarz and P.C. West, Anomaly Free Chiral Theories in Six-Dimensions, Nucl. Phys. B 254 (1985) 327 [SPIRES].
2. V. Kumar and W. Taylor, A bound on 6D N = 1 supergravities, JHEP 12 (2009) 050 [arXiv:0910.1586] [SPIRES].
3. V. Kumar and W. Taylor, String Universality in Six Dimensions, arXiv:0906.0987 [SPIRES].
4. C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022] [SPIRES].
5. D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74 [hep-th/9602114] [SPIRES].
6. D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 437 [hep-th/9603161] [SPIRES].
7. M. Bershadsky et al., Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215 [hep-th/9605200] [SPIRES].
8. V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45 [hep-th/9606008] [SPIRES].
9. A. Grassi and D.R. Morrison, Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds, math/0005196. MATH/0005196;
10. A. Grassi, D.R. Morrison, Anomalies and the Euler characteristic of elliptically fibered Calabi-Yau threefolds, to appear.
11. K.-S. Choi, Extended Gauge Symmetries in F-theory, JHEP 02 (2010) 004 [arXiv:0910.2571] [SPIRES].
12. R.A. Laamara, A. Belhaj, L.J. Boya, L. Medari and A. Segui, On F-theory Quiver Models and Kac-Moody Algebras, arXiv:0910.4852 [SPIRES].
13. J. Erler, Anomaly cancellation in six-dimensions, J. Math. Phys. 35 (1994) 1819 [hep-th/9304104] [SPIRES].
14. V. Kumar and W. Taylor, Freedom and Constraints in the K3 Landscape, JHEP 05 (2009) 066 [arXiv:0903.0386] [SPIRES].
15. A. Sagnotti, A Note on the Green-Schwarz mechanism in open string theories, Phys. Lett. B 294 (1992) 196 [hep-th/9210127] [SPIRES].
16. K. Kodaira, On compact analytic surfaces II, Ann. Math. 77 (1963) 563.
17. K. Kodaira, On compact analytic surfaces III, Ann. Math. 78 (1963) 1.
18. W. Barth, C. Peters, and A. Van de Ven, Compact complex surfaces, Springer-Verlag, Berlin, Germany (2004).
19. S.H. Katz and C. Vafa, Matter from geometry, Nucl. Phys. B 497 (1997) 146 [hep-th/9606086] [SPIRES].
20. M. Bershadsky and C. Vafa, Global anomalies and geometric engineering of critical theories in six dimensions, hep-th/9703167 [SPIRES].
21. E. Witten, An SU(2) anomaly, Phys. Lett. B 117 (1982) 324 [SPIRES].
22. O. DeWolfe and B. Zwiebach, String junctions for arbitrary Lie algebra representations, Nucl. Phys. B 541 (1999) 509 [hep-th/9804210] [SPIRES].
23. D.A. Cox and S. Katz, Mirror symmetry and algebraic geometry, American Mathematical Society, Providence, U.S.A. (2000) [SPIRES].
24. 8 theory, Nucl. Phys. B 487 (1997) 93 [hep-th/9610251] [SPIRES].
25. J. de Boer et al., Triples, fluxes and strings, Adv. Theor. Math. Phys. 4 (2002) 995 [hep-th/0103170] [SPIRES].