BPS Spectrum of the Five-Brane and Black Hole Entropy

Abstract

We propose a formulation of 11-dimensional M-theory in terms of five-branes with closed strings on their world-volume. We use this description to construct the complete spectrum of BPS states in compactifications to six and five dimensions. We compute the degeneracy for fixed charge and find it to be in accordance with U-duality (which in our formulation is manifest in six dimensions) and the statistical entropy formula of the corresponding black hole. We also briefly comment on the four-dimensional case.

13 pages, latex, no figures, blank lines removed

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• A brief review of "little string theories"
• Matrix Description of M-theory on $T^4$ and $T^5$
• General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• M-Strings
• A Clockwork Theory
• The Self-Dual String Soliton
• The Black Branes of M-theory
• A String Model of Black Hole Microstates
• Instanton Strings and HyperKaehler Geometry
• Counting BPS Blackholes in Toroidal Type II String Theory
• A Noncommutative M-Theory Five-brane
• BPS Quantization of the Five-Brane
• Little String Theory at a TeV
• The Bekenstein Formula and String Theory (N-brane Theory)
• D-branes and Matrix Theory in Curved Space
• Algebraic Aspects of Matrix Theory on T^d
• $R^4$ couplings and automorphic unipotent representations
• Erice Lectures on Black Holes and Attractors
• BPS Black Hole Degeneracies and Minimal Automorphic Representations
• Non-perturbative Temperature Instabilities in N=4 Strings
• Rotating Intersecting M-Branes
• Branes at Angles and Black Holes
• On the partition sum of the NS five-brane
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• The Quantum Physics of Black Holes: Results from String Theory
• M&m's
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• U-Invariants, Black-Hole Entropy and Fixed Scalars
• 5D Black Holes and Matrix Strings
• Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings
• The Matrix Formulation of Type IIB Five-Branes
• M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles
• Open Supermembranes Coupled to M-Theory Five-Branes
• Five Dimensional U-Duality, Black-Hole Entropy and Topological Invariants
• M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
• Hair-brane Ideas on the Horizon
• M5 on a torus and the three brane
• On the BPS sector in AdS_3/CFT_2 Holography
• On the Matrix Description of Calabi-Yau Compactifications
• Black Holes and Five-brane Thermodynamics
• Extremal Black Holes in Supergravity
• Black Hole Horizons and the Thermodynamics of Strings
• Uncertainty relation and non-dispersive states in Finite Quantum Mechanics
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• Radiation from Accelerated Branes
• Compactification of Tensionless String Theories
• Black String Entropy and Fourier-Mukai Transform
• Little strings on $D_n$ orbifolds
• The (amazing) Super-Maze
• Loop-corrected Entropy of Near-extremal Dilatonic $p$-branes
• Duality Covariant Type IIB Supersymmetry and Nonperturbative Consequences
• M-branes, anti-M-branes and nonextremal black holes
• D1/D5 systems in $\mathcal{N}=4$ string theories
• On the Supersymmetric Index of the M-theory 5-brane and Little String Theory
• On The M(atrix)-Model For M-Theory On $T^6$
• BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
• Statistical entropy of near-extremal and fundamental black p-branes
• Superconformal Theories in Six Dimensions
• Open String on Symmetric Product
• More Superstrings from Supergravity
• $DE$-type little strings from glued brane webs
• Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon
• Little Theories in Six and Seven Dimensions
• A quantum mass-spectrum of Kerr black hole: superstrings
• Duality, Central Charges and Entropy of Extremal BPS Black Holes
• Black holes and thermodynamics of non-gravitational theories
• Noncommutative Geometry and Twisted Little-String Theories
• D-brane Analyses for BPS Mass Spectra and U-duality
• BPS Spectrum and Nahm Duality of Matrix Theory Compactifications
• Five-Branes in M-Theory and a Two-Dimensional Geometric Langlands Duality
• Open Branes and Little Strings
• Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras
• Notes on Matrix and Micro Strings
• World-Volume Description of M2-branes Ending on an M5-brane and Holography
• Multicharge Superstrings
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion
• Radial geodesics as a microscopic origin of black hole entropy. III: Exercise with the Kerr-Newman black hole
• Radial geodesics as a microscopic origin of black hole entropy. II: Features of Reissner--Nordstrom black hole
• Momentum modes of M5-branes in a 2d space
• On Orientifold Constructions of Type IIA Dual Pairs