Results 51 to 60 of about 16,257,561 (327)
Ukrainian Mathematical Journal, 2002 7 pages ...
Malyuta, Yu. M., Obikhod, T. V.
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Tate’s algorithm and F-theory [PDF]
Journal of High Energy Physics, 2011 The "Tate forms" for elliptically fibered Calabi-Yau manifolds are reconsidered in order to determine their general validity. We point out that there were some implicit assumptions made in the original derivation of these "Tate forms" from the Tate algorithm.
Katz, Sheldon +3 more
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Proceedings of Proceedings of the Corfu Summer Institute 2014 — PoS(CORFU2014), 2015 In this lecture, an overview of current F-theory model building techniques is presented. In F-theory GUT symmetries are associated to the singularities of the elliptically fibred internal (compact) space. Models with gauge groups emerging as subgroups of the exceptional group E8 are presented. Moreover, GUTs with abelian and discrete symmetries arising
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Perturbative F-theory 10-brane and M-theory 5-brane
Journal of High Energy Physics, 2021 The exceptional symmetry is realized perturbatively in F-theory which is the manifest U-duality theory. The SO(5) U-duality symmetry acts on both the 16 space-time coordinates and the 10 worldvolume coordinates.
Machiko Hatsuda, Warren Siegel
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Terminal Singularities, Milnor Numbers, and Matter in F-theory [PDF]
, 2016 We initiate a systematic investigation of F-theory on elliptic fibrations with singularities which cannot be resolved without breaking the Calabi-Yau condition, corresponding to $\mathbb Q$-factorial terminal singularities.
P. Arras, A. Grassi, T. Weigand
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Complete Intersection Fibers in F-Theory [PDF]
, 2015 Global F-theory compactifications whose fibers are realized as complete intersections form a richer set of models than just hypersurfaces. The detailed study of the physics associated with such geometries depends crucially on being able to put the ...
Braun, Volker +2 more
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Discrete symmetries in Heterotic/F-theory duality and mirror symmetry [PDF]
Journal of High Energy Physics, 2016 We study aspects of Heterotic/F-theory duality for compactifications with Abelian discrete gauge symmetries. We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with n-sections, associated with the Tate-Shafarevich group ℤn ...
M. Cvetič +2 more
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, 2020 We propose 4-point S-matrices for three-dimensional F-theory. We will use the twistor formalism to facilitate constructing the amplitude. We write the amplitude in a way such that the F-symmetry (U-duality symmetry) is manifest. The amplitude can be schematically written as $A_{4} = w^{4}/stu$, where $w$ is an analog of the linearized Weyl tensor in F ...
Siegel, Warren, Wang, Yu-Ping
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Flavor hierarchy from F-theory [PDF]
Nuclear Physics B, 2010 It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM. In this note we show that in the presence of background fluxes, these models automatically achieve hierarchical Yukawa matrices in the quark and lepton sectors.
Heckman, Jonathan J., Vafa, Cumrun
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Reviews in Mathematical Physics, 2023 In the quest for mathematical foundations of M-theory, the Hypothesis H that fluxes are quantized in Cohomotopy theory, implies, on flat but possibly singular spacetimes, that M-brane charges locally organize into equivariant homotopy groups of spheres.
Sati, Hisham, Schreiber, Urs
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