G-flux in F-theory and algebraic cycles

By A. P. Braun, A. Collinucci, R. Valandro. 2011

175 citations recorded by the source corpus.

Abstract We construct explicit G 4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi–Yau fourfolds. We show how to compute the D 3-brane tadpole and the induced chirality indices directly in F-theory. Whenever a weak coupling limit is available, we compare and successfully match our findings to the corresponding results in type IIB string theory. Finally, we present some generalizations of our results which hint at a unified description of the elliptic Calabi–Yau fourfold together with the four-form flux G 4 as a coherent sheaf. In this description the close link between G 4 fluxes and algebraic cycles is manifest.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/74a6b30768fafc321ca04725aed6beb7712df41e

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Citations in the corpus

F-theory fluxes, chirality and Chern-Simons theories (2011, methodology): “The construction of fluxes in this model have been recently given in [24, 18].”
F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, background): “Rank one Mordell-Weil groups in compact elliptic fibrations have been studied recently in the F-theory literature in varying contexts [39, 40, 41, 42, 43, 44, 45, 46].”
Anomaly equations and intersection theory (2011, background): “Acknowledgement First and foremost I would like to thank Wati Taylor for his guidance, support and en(12)An incomplete list of references on the structure of four-dimensional F-theory backgrounds is given in the bibliography [25, 52, 55, 58, 79, 80, 81, 82, 83, 84].”
U(1) symmetries in F-theory GUTs with multiple sections (2012, background): “In [5] it was shown that the SU(2) singularity can be written in the form of a conifold which is then resolved.”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “In [191] the additional U(1) was identified by noting that the U(1)restricted Tate model constraint a6 = 0 implies that, after an appropriate coordinate transformation, the SU(2) singularity can be written in the form of a conifold singularity.”
The F-theory geometry with most flux vacua (2015, background): “An important class of 4-cycles relevant for breaking a given E8 factor are those that carry the “Cartan flux” G = F ∧ ν ∈ H2,2 [36, 37, 42].”
Building an explicit de Sitter (2012, methodology): “An analogous ansatz was done in [46] for an elliptically fibered Calabi-Yau fourfold, in order to find rigid four-cycles inside the fourfold.”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, methodology): “This was independently realised and worked out in great detail also in the recent [33], which has substantial overlap with our work in this regard, even though the logic of the approach and the explicit techniques differ.”