Small Black Hole Explosions

Abstract

Small black holes are a powerful tool to explore infinite distances in moduli spaces. However, we show that in 4d theories with a scalar potential growing fast enough at infinity, it is energetically too costly for scalars to diverge at the core, and the small black hole puffs up into a regular black hole, or follows a runaway behaviour. We derive a critical exponent characterizing the occurrence or not of such small black hole explosions, both from a 4d perspective, and in the 2d theory after an ${\mathbf{S}}^2$ truncation. The latter setup allows a unified discussion of fluxes, domain walls and black holes, solving an apparent puzzle in the expression of their potentials in the 4d $\mathcal{N}=2$ gauged supergravity context. We discuss the realization of these ideas in 4d $\mathcal{N}=2$ gauged supergravities. Along the way we show that many regular black hole supergravity solutions in the literature in the latter context are incomplete, due to Freed-Witten anomalies (or duals thereof), and require the emission of strings by the black hole. From the 2d perspective, small black hole solutions correspond to dynamical cobordisms, with the core describing an end of the world brane. Small black hole explosions represent obstructions to completing the dynamical cobordism. We study the implications for the Cobordism Distance Conjecture, which states that in any theory there should exist dynamical cobordisms accessing all possible infinite distance limits in scalar field space. The realization of this principle using small black holes leads to non-trivial constraints on the 4d scalar potential of any consistent theory; in the 4d $\mathcal{N}=2$ context, they allow to recover from a purely bottom-up perspective, several non-trivial properties of vector moduli spaces near infinity familiar from CY${}_3$ compactifications.

arXiv comment40 pages + appendices

References in corpus (56)

• de Sitter Vacua in String Theory
• On the Geometry of the String Landscape and the Swampland
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Symmetries and Strings in Field Theory and Gravity
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Supergravity flows and D-brane stability
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• Infinite Distances in Field Space and Massless Towers of States
• AdS and the Swampland
• Brane Supersymmetry Breaking
• On tadpoles and vacuum redefinitions in String Theory
• Supersymmetric AdS_4 black holes and attractors
• D-Brane Instantons and K-Theory Charges
• Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32) String Theory
• Infinite Distance Networks in Field Space and Charge Orbits
• The Swampland Distance Conjecture for Kahler moduli
• Type I vacua with brane supersymmetry breaking
• Brane solutions in strings with broken supersymmetry and dilaton tadpoles
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Tachyon-free Non-supersymmetric Type IIB Orientifolds via Brane-Antibrane Systems
• Lectures on Quantum Black Holes
• Static supersymmetric black holes in AdS_4 with spherical symmetry
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Swampland Conjectures for Strings and Membranes
• Creation of Fundamental Strings by Crossing D-branes
• Exact asymptotically flat charged hairy black holes with a dilaton potential
• Branes, Orientifolds and the Creation of Elementary Strings
• Cosmological solutions of supercritical string theory
• On Classical Stability with Broken Supersymmetry
• Dilaton Tadpoles, Warped Geometries and Large Extra Dimensions for Non-Supersymmetric Strings
• On attractor mechanism of $Ad{S}_4$ black holes
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• Dimension-changing exact solutions of string theory
• Finiteness and the Swampland
• Modular Symmetries and the Swampland Conjectures
• Transplanckian Axion Monodromy !?
• Nonextremal black holes in gauged supergravity and the real formulation of special geometry
• Zp charged branes in flux compactifications
• Brane annihilation in non-supersymmetric strings
• Charting the landscape of supercritical string theory
• Time and space dependent backgrounds from nonsupersymmetric strings
• Dynamical Tadpoles, Stringy Cobordism, and the SM from Spontaneous Compactification
• Anomalous Creation of Branes
• Asymmetric Orientifolds, Brane Supersymmetry Breaking and Non-BPS Branes
• Dynamical Cobordism Conjecture: Solutions for End-of-the-World Branes
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• Nonextremal black holes in gauged supergravity and the real formulation of special geometry II
• Dynamical Cobordism and the Beginning of Time: Supercritical Strings and Tachyon Condensation
• Attractor Explosions and Catalyzed Vacuum Decay
• Type IIB Orientifolds without Untwisted Tadpoles, and non-BPS D-branes
• Attractors at weak gravity
• Cosmological unification of string theories
• Black Holes as Probes of Moduli Space Geometry
• On the correspondence between black holes, domain walls and fluxes
• Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification

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