Bound States of Black Holes and Other $P$-Branes

Abstract

In the process of identifying heterotic and Type $II$ BPS string states with extremal dilaton black holes, it has been suggested that solutions with scalar/Maxwell parameters $a=\sqrt{3}$, $1$, $1/\sqrt{3}$ and $0$ correspond to $1-$, $2-$, $3-$ and $4$-particle bound states at threshold. (For example, the Reissner-Nordstrom black hole is just a superposition of four Kaluza-Klein black holes). Here we show that not only the masses, electric charges and magnetic charges but also the spins and supermultiplet structures of the string states are consistent with this interpretation. Their superspin $L$ corresponds to the Kerr-type angular momentum and hence only the $L=0$ elementary BPS states are black holes. Moreover, these results generalize to super $p$-branes in $D$-dimensions. By constructing multi-centered $p$-brane solitons, the new super $p$-branes found recently with various values of $a^2=\Delta -2(p+1)(D-p-3)/(D-2)$ are seen to be bound states of the fundamental ones with $\Delta =4$.

22 pages, Latex; improved discussions of: zero versus non-zero binding energy, consistent truncations, naked singularities; extra references added and typographical errors corrected

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• Harmonic superpositions of M-branes
• Entropy of Near-Extremal Black p-branes
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• Overlapping Branes in M-Theory
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• More D-brane bound states
• Four Dimensional Black Hole Microstates: From D-branes to Spacetime Foam
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• Lectures on Supergravity p-branes
• BPS Branes in Supergravity
• Black holes admitting a Freudenthal dual
• The black-hole/qubit correspondence: an up-to-date review
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• E_7 and the tripartite entanglement of seven qubits
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Wrapped branes as qubits
• Microstates of Non-supersymmetric Black Holes
• Critical Points and Phase Transitions in 5D Compactifications of M-Theory
• Classification of p-branes, NUTs, Waves and Intersections
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• Anti-de Sitter space, branes, singletons, superconformal field theories and all that
• Probing 4-Dimensional Nonsupersymmetric Black Holes Carrying D0- and D6-brane charges
• Dipole Moments of Black Holes and String States
• Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity
• Non-Extreme Black Holes from Intersecting M-Branes
• A Note on Intersecting $D$-branes and Black Hole Entropy
• Extremal Branes as Elementary Particles
• g=1 for Dirichlet 0-branes
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• Dynamical black holes in low-energy string theory
• Twin conformal field theories
• Nonrenormalization of Mass of Some Nonsupersymmetric String States
• Delocalized Supergravity Solutions for Brane/Anti-brane Systems and their Bound States
• Small Black Hole Constituents and Horizontal Symmetry
• N=2 Supersymmetry and Dipole Moments
• Four-dimensional High-Branes as Intersecting D-Branes
• Fission and Fusion Bound States of p-brane Solitons
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• Solitons, Black Holes and Duality in String Theory
• Attractor Flows in st^2 Black Holes
• Decompactification near the horizon and non-vanishing entropy
• Supersymmetric dyonic black holes of IIA string on Six Torus
• Black hole entropy and quantum information
• Black Holes in Supergravity: the non-BPS Branch
• Non-Perturbative States in Superstring Theories