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A Note On Zeroes Of Superpotentials In F-Theory

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arxiv hep-th/9612077 v1 pith:3I2VGIZA submitted 1996-12-08 hep-th

Ori J. Ganor This is my paper · ORCID
classification hep-th
keywords casedependencef-theorybranedivisorformm-theoryspecial
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the dependence of superpotential terms in 4D F-theory on moduli parameters. Two cases are studied: the dependence on world-filling 3-brane positions and the dependence on 2-form VEVs. In the first case there is a zero when the 3-brane hits the divisor responsible for the superpotential. In the second case, which has been extensively discussed by Witten in 3D M-theory, there is a zero for special values of 2-form VEVs when the M-theory divisor contains non-trivial 3-cycles. We give an alternative derivation of this fact for the special case of F-theory.

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  1. Towards the Non-Perturbative Completion of 4d N=1 Effective Theories of Gravity

    hep-th 2025-10 conditional novelty 7.0 of 10

    Small-volume regimes of flop curves in 4d N=1 F-theory require non-perturbative states—blow-up moduli and D3-string excitations—to complete the locally enhanced N=2 spectrum.

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