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Massless Black Holes and Conifolds in String Theory

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arxiv hep-th/9504090 v1 pith:S2IQWDAR submitted 1995-04-18 hep-th

Andrew Strominger This is my paper · ORCID
classification hep-th
keywords blackholesstringclassicalconifoldeffectiveinconsistencymassless
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singularities are resolved by the appearance of massless Ramond-Ramond black holes. The Wilsonian effective action including these light black holes is smooth near the conifold, and the singularity is reproduced when they are integrated out. In order for a quantum effect to cure a classical inconsistency, it can not be suppressed by the usual string coupling $g_s$. It is shown how the required $g_s$ dependence arises as a result of the peculiar couplings of Ramond-Ramond gauge fields to the dilaton.

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Cited by 11 Pith papers

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  1. Conifold Gap Theorem for Topological Recursion

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    For every toric mirror curve with a generic one-node degeneration and every genus at least 2, the conifold free energy equals B_{2g}/(2g(2g-2)) t^{2-2g} plus a holomorphic remainder.

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

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  4. Co-Scaling and Alignment of Electric and Magnetic Towers

    hep-th 2025-05 conditional novelty 7.0 of 10

    Electric and magnetic BPS towers in 5d supergravity are conjectured to co-scale and align, and a new S-map is conjectured to characterize the magnetic infinity cone of a Calabi-Yau threefold.

  5. A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers

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    Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual t...

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    Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.

  11. Calabi-Yau threefolds across quadratic singularities

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    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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