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Supergravity flows and D-brane stability
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We investigate the correspondence between existence/stability of BPS states in type II string theory compactified on a Calabi-Yau manifold and BPS solutions of four dimensional N=2 supergravity. Some paradoxes emerge, and we propose a resolution by considering composite configurations. This in turn gives a smooth effective field theory description of decay at marginal stability. We also discuss the connection with 3-pronged strings, the Joyce transition of special Lagrangian submanifolds, and Pi-stability.
Forward citations
Cited by 11 Pith papers
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Projecting Gravitational Fluctuations onto Near-Horizon Throats
A pair of coordinate changes projects Heun-type gravitational fluctuation equations onto two matched hypergeometric problems, reproducing instanton-counting results and yielding Schwarzian zero modes.
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Generating Rotation in a Snap
An algebraic technique generates rotating black holes and multi-source solutions from static ones by transforming to AdS×S asymptotics, applying a rotating frame shift, and returning to flat asymptotics.
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Multicentered black hole saddles for supersymmetric indices
Multi-center black hole saddles for the supersymmetric index exist at finite temperature, their on-shell action is the sum of extremal entropies, and the entire moduli space of saddles vanishes at walls of marginal stability.
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Intersection Bounds for BPS Strings in Six-Dimensional Supergravity
Using a lattice Zariski decomposition of the gravitational charge and E8 current-algebra embeddings, the paper bounds previously uncontrolled BPS-string intersections: C_-3·e ≤ 3, C_-2·e ≤ 7, and isolated gauged C_-2·...
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On conformal symmetry in large-$N$ quiver mechanics
At large rank N, the fixed-point formula for the quiver superconformal index equals the Ω_uneq contribution to the microscopic scaling BPS index of Beaujard–Mondal–Pioline, a piece previously invisible on the Coulomb branch.
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The Fate of Black Hole-Induced Moduli Excursions in the Presence of Scalar Potentials
Black-hole moduli throats survive or fail according to how a potential’s force, sign, oscillations, or barrier distance behave along the GHS scalar trajectory, not by the mere presence of a mass.
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Complex BPS Black Holes in AdS$_3\times S^3$
Constructs complex BTZ x S3 saddles for the supersymmetric index in AdS3 x S3 supergravity, matching supersymmetry requirements through two-center 4D solutions with complex charges and 6D black strings.
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Large Order Enumerative Geometry, Black Holes and Black Rings
Numerical study of high-genus GV invariants reveals 5D indices matching BMPV black-hole entropy below a critical angular momentum and black-ring dominance above, with additional phase transitions and growth laws in PT...
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Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories
The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.
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Pure D-brane Black Holes: BPS Counting and non-BPS Vacua
The (1,1,1,5) and (1,1,1,6) D2-D2-D2-D6 BPS systems yield 2032 and 5616 vacua, matching U-duality, while the analogous non-BPS system has no zero-energy vacua and six doubly-degenerate low-energy minima.
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Interpolating between multi-center microstate geometries
Constructs a 2-center helical-profile solution that interpolates between two circular-profile Lunin-Mathur microstate geometries while exhibiting charge delocalization and transfer between centers.
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