Two Centered Black Holes and N=4 Dyon Spectrum

Abstract

The exact spectrum of dyons in a class of N=4 supersymmetric string theories is known to change discontinuously across walls of marginal stability. We show that the change in the degeneracy across the walls of marginal stability can be accounted for precisely by the entropy of two centered small black holes which disappear as we cross the walls of marginal stability.

LaTeX file, 12 pages; v3: added footnote 2 regarding overall sign of the index, expanded footnote 3, added references

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Cited by in corpus (49)

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• Dying Dyons Don't Count
• Black Hole Hair Removal
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• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Discrete Information from CHL Black Holes
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
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• Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• Rare Decay Modes of Quarter BPS Dyons
• A Twist in the Dyon Partition Function
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• The mixed black hole partition function for the STU model
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• The statistical mechanics of near-BPS black holes
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• On walls of marginal stability in N=2 string theories
• Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity
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• Two-Center Black Holes, Qubits and Elliptic Curves
• Deconstructing the D0-D6 system
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• On Invariant Structures of Black Hole Charges
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Kinematical Analogy for Marginal Dyon Decay
• Constraints on "rare" dyon decays
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
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• Extremal Black Brane Attractors on The Elliptic Curve
• The Spectra of Supersymmetric States in String Theory
• Indefinite theta functions and black hole partition functions
• Generating new $N=2$ small black holes
• Quantum entropy of supersymmetric black holes
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• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Perturbative and Non-Perturbative Aspects of N=8 Supergravity