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arxiv: 1107.3589 · v2 · pith:QZKD6JL7new · submitted 2011-07-18 · ✦ hep-th · math-ph· math.MP

A new CY elliptic fibration and tadpole cancellation

classification ✦ hep-th math-phmath.MP
keywords cancellationfibrationtadpolealuffiellipticesolelimitused
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Tadpole cancellation in Sen limits in F-theory was recently studied by Aluffi and Esole. We extend their results, generalizing the elliptic fibrations they used and obtaining a new case of universal tadpole cancellation, at least numerically. We could not find an actual Sen limit having the correct brane content, and we argue that such a limit may not exist. We also give a uniform description of the fibration used by Aluffi and Esole as well as a new, simple, fibration which has non-Kodaira type fibers.

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