Algebraic description of G-flux in F-theory: new techniques for F-theory phenomenology

Details Algebraic description of G-flux in F-theory: new techniques for F-theory phenomenology Algebraic description of G-flux in F-theory: new techniques for F-theory phenomenology

2012-02-22

arxiv.org/abs/1202.5029v2

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, contribution to the proceedings of the "XVII European Workshop on String Theory 2011", Padova, Italy, 5-9 September 2

Scientific paper

We give a global algebraic description of the four-form flux in F-theory. We present how to compute its D3-tadpole and how to calculate the number of four-dimensional chiral states at the intersection of 7-branes directly in F-theory. We check that, in the weak coupling limit, we obtain the same results as using perturbative type IIB string theory. We develop these techniques in full generality. However, they can be readily applied to concrete models, as we show in an explicit example.

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