Fetching the paper…
Reading the bibliography…
We analyze non-Higgsable clusters of gauge groups and matter that can arise at the level of geometry in 4D F-theory models.
L. B. Anderson, J. J. Heckman and S. Katz, “T-Branes and Geometry,” JHEP 1405
1931
Earlier work this paper cites.
D. R. Morrison and W. Taylor, “Classifying bases for 6D F-theory models,” Central Eur. J. Phys. 10
1943
Earlier work this paper cites.
K. Kodaira, “On compact analytic surfaces. II, III,” Ann. of Math. (2) 77
1963
Earlier work this paper cites.
S. D. Cutkosky, Zariski decomposition of divisors on algebraic varieties
1986
Earlier work this paper cites.
Kinokuniya, 1988
N. Nakayama, “On Weierstrass models,” in Algebraic geometry and commutative algebra, Vol. II · 1988
Earlier work this paper cites.
P. Candelas, A. M. Dale, C. A. Lutken and R. Schimmrigk, “Complete Intersection Calabi-Yau Manifolds,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
A. Grassi, “On minimal models of elliptic threefolds,” Math. Ann. 290
1991
Earlier work this paper cites.
William Fulton, “Introduction to Toric Varieties,” Annals of Mathematics Study 131, Princeton University Press, Princeton, 1993
1993
Earlier work this paper cites.
V. Batyrev, “Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori,” Duke Math. Journ. 69
1993
Earlier work this paper cites.
C. Vafa, “Evidence for F-Theory,” Nucl. Phys. B 469
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “ Compactifications of F-Theory on Calabi–Yau Threefolds – I,” Nucl. Phys. B 473
1996
Earlier work this paper cites.
D. R. Morrison and C. Vafa, “Compactifications of F-Theory on Calabi–Yau Threefolds – II,” Nucl. Phys. B 476
1996
Earlier work this paper cites.
E. Witten, “Phase transitions in M M -theory and F F -theory,” Nucl. Phys. B 471
1996
Earlier work this paper cites.
M. Bershadsky, K. A. Intriligator, S. Kachru, D. R. Morrison, V. Sadov and C. Vafa, “Geometric singularities and enhanced gauge symmetries,” Nucl. Phys. B 481
1996
Earlier work this paper cites.
S. H. Katz, D. R. Morrison and M. R. Plesser, “Enhanced gauge symmetry in type II string theory,” Nucl. Phys. B 477
1996
Earlier work this paper cites.
O. J. Ganor and A. Hanany, “Small E 8 E_{8} instantons and tensionless noncritical strings,” Nucl. Phys. B 474
1996
Earlier work this paper cites.
N. Seiberg and E. Witten, “Comments on String Dynamics in Six Dimensions,” Nucl. Phys. B 471
1996
Earlier work this paper cites.
W. Taylor, “Lectures on D-branes, gauge theory and M(atrices),” In *Trieste 1997, High energy physics and cosmology* 192-271 hep-th/9801182
1997
Earlier work this paper cites.
S. H. Katz and C. Vafa, “Matter from geometry,” Nucl. Phys. B 497
1997
Earlier work this paper cites.
N. Seiberg, “Nontrivial fixed points of the renormalization group in six-dimensions,” Phys. Lett. B 390
1997
Earlier work this paper cites.
M. R. Douglas, “D-branes and matrix theory in curved space,” Nucl. Phys. Proc. Suppl. 68
1998
Earlier work this paper cites.
M. R. Douglas, A. Kato and H. Ooguri, “D-brane actions on Kahler manifolds,” Adv. Theor. Math. Phys. 1
1998
Earlier work this paper cites.
A. Klemm, B. Lian, S. S. Roan and S. -T. Yau, “Calabi-Yau fourfolds for M theory and F theory compactifications,” Nucl. Phys. B 518
1998
Cited alongside, same era.
P. Candelas and A. Font, “Duality between the webs of heterotic and type II vacua,” Nucl. Phys. B 511
1998
Cited alongside, same era.
W. Taylor and M. Van Raamsdonk, “Multiple D0-branes in weakly curved backgrounds,” Nucl. Phys. B 558
1999
Cited alongside, same era.
R. C. Myers, “Dielectric branes,” JHEP 9912
1999
Cited alongside, same era.
P. Berglund and P. Mayr, “Stability of vector bundles from F theory,” JHEP 9912
1999
Cited alongside, same era.
W. Taylor and M. Van Raamsdonk, “Multiple Dp-branes in weak background fields,” Nucl. Phys. B 573
2000
N. Seiberg and W. Taylor, “Charge Lattices and Consistency of 6D Supergravity,” JHEP 1106
2011
Later among the works it cites.
T. W. Grimm and H. Hayashi, “F-theory fluxes, Chirality and Chern-Simons theories,” JHEP 1203
2012
Later among the works it cites.
2012
Later among the works it cites.
D. R. Morrison and W. Taylor, “Matter and singularities,” JHEP 1201
2012
Later among the works it cites.
D. R. Morrison and W. Taylor, “Toric bases for 6D F-theory models,” Fortsch. Phys. 60
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. S. Aspinwall, S. H. Katz and D. R. Morrison, “Lie groups, Calabi–Yau threefolds, and F-theory,” Adv. Theor. Math. Phys. 4
2000
Cited alongside, same era.
P. Candelas, D. -E. Diaconescu, B. Florea, D. R. Morrison and G. Rajesh, “Codimension three bundle singularities in F theory,” JHEP 0206
2002
Cited alongside, same era.
A. Grassi, D. R. Morrison, “Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds”, J. Algebraic Geom. 12 (2003), 321-356 arXiv:math/0005196
2003
Cited alongside, same era.
W. P. Barth, K. Hulek, C. A. M. Peters, A. Van de Ven, “Compact complex surfaces,” Springer, 2004
2004
Cited alongside, same era.
R. Donagi, S. Katz and E. Sharpe, “Spectra of D-branes with higgs vevs,” Adv. Theor. Math. Phys. 8
2005
Cited alongside, same era.
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, “Type IIA moduli stabilization,” JHEP 0507
2005
Cited alongside, same era.
2012
Later among the works it cites.
2012
Later among the works it cites.
W. Taylor, “On the Hodge structure of elliptically fibered Calabi-Yau threefolds,” JHEP 1208
2012
Later among the works it cites.
R. Donagi and M. Wijnholt, “Gluing Branes, I,” JHEP 1305
2013
Later among the works it cites.
F. Ferrari, “On Matrix Geometry and Effective Actions,” Nucl. Phys. B 871
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
A. Grassi, J. Halverson and J. L. Shaneson, “Matter From Geometry Without Resolution,” JHEP 1310
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
J. Gray, A. S. Haupt and A. Lukas, “All Complete Intersection Calabi-Yau Four-Folds,” JHEP 1307
2013
Later among the works it cites.
2014
Closest in time.
2014
Closest in time.
S. B. Johnson and W. Taylor, “Calabi-Yau threefolds with large h 2 , 1 h^{2,1} ,” JHEP 1410
2014
Closest in time.
2051
Closest in time.
2073
Closest in time.