BPS Quantization of the Five-Brane

Abstract

We give a unified description of all BPS states of M-theory compactified on $T^5$ in terms of the five-brane. We compute the mass spectrum and degeneracies and find that the $SO(5,5,Z)$ U-duality symmetry naturally arises as a T-duality by assuming that the world-volume theory of the five-brane itself is described by a string theory. We also consider the compactification on $S^1/Z_2\times T^4$, and give a new explanation for its correspondence with heterotic string theory by exhibiting its dual equivalence to M-theory on $K3\times S^1$.

27 pages, latex, no figures, to be published in Nucl. Phys. B, discussion of relation to D-brane counting added

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Cited by in corpus (78)

• Brane Dynamics and Gauge Theory
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• U-duality and M-Theory
• World-Volume Action of the M Theory Five-Brane
• A brief review of "little string theories"
• Matrix Description of M-theory on $T^4$ and $T^5$
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• A Clockwork Theory
• BPS States of Exceptional Non-Critical Strings
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• The Self-Dual String Soliton
• On Theories With Light-Like Noncommutativity
• BPS Spectrum of the Five-Brane and Black Hole Entropy
• E-Strings and N=4 Topological Yang-Mills Theories
• Matrix Theory
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• A Noncommutative M-Theory Five-brane
• 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
• BPS Black Hole Degeneracies and Minimal Automorphic Representations
• On the partition sum of the NS five-brane
• Non-perturbative Temperature Instabilities in N=4 Strings
• Open Branes in Space-Time Non-Commutative Little String Theory
• 5D Black Holes and Matrix Strings
• Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings
• Aspects of U-Duality in Matrix Theory
• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• The Matrix Formulation of Type IIB Five-Branes
• M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
• M5 on a torus and the three brane
• Les Houches Lectures on Fields, Strings and Duality
• AdS_3 OM theory and the self-dual string or Membranes ending on the Five-brane
• Branes in Time-Dependent Backgrounds and AdS/CFT Correspondence
• On Central Charges and Hamiltonians for 0-brane dynamics
• The Elliptic curves in gauge theory, string theory, and cohomology
• Beyond the standard model with six-dimensional spinors
• Radiation from Accelerated Branes
• Holography, Singularities on Orbifolds and 4D N=2 SQCD
• F-theory from Dirichlet 3-branes
• BPS States in N=3 Superstrings
• Compactification of Tensionless String Theories
• U-Duality Invariance of the Four-dimensional Born-Infeld Theory
• Little strings on $D_n$ orbifolds
• Gauge Dyonic Strings and Their Global Limit
• Thirty years of Erice on the brane
• Benchmarks on the brane
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Compactification of $M$-Theory to Two Dimensions
• M-branes, anti-M-branes and nonextremal black holes
• D1/D5 systems in $\mathcal{N}=4$ string theories
• On The M(atrix)-Model For M-Theory On $T^6$
• On decoupled theories in (5+1) dimensions from (F,D1,NS5,D5) supergravity configuration
• On the Supersymmetric Index of the M-theory 5-brane and Little String Theory
• BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
• Exceptional Super Yang-Mills in $D=27+3$ and Worldvolume M-Theory
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• More Superstrings from Supergravity
• $DE$-type little strings from glued brane webs
• Superconformal Theories in Six Dimensions
• Little Theories in Six and Seven Dimensions
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Neveu-Schwarz Five-Branes And Matrix String Theory On K3
• D-brane Analyses for BPS Mass Spectra and U-duality
• On Matrix Models of M5-branes
• (NS5,D5,D3) bound state, OD3, OD5 limits and SL(2,Z) duality
• Five-Branes in M-Theory and a Two-Dimensional Geometric Langlands Duality
• Open Branes and Little Strings
• World-Volume Description of M2-branes Ending on an M5-brane and Holography
• Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras
• Notes on Matrix and Micro Strings
• Multicharge Superstrings
• Correlators of open D-string theory from supergravity
• Momentum modes of M5-branes in a 2d space
• The Exchange of Orientifold Two-Planes in M-theory
• U-duality and M-theory, an algebraic approach