M-theory branes and their interactions

Abstract

In recent years there has been some progress in understanding how one might model the interactions of branes in M-theory despite not having a fundamental perturbative description. The goal of this review is to describe different approaches to M-theory branes and their interactions. This includes: a review of M-theory branes themselves and their properties; brane interactions; the self-dual string and its properties; the role of anomalies in learning about brane systems; the recent work of Basu and Harvey with subsequent developments; and how these complimentary approaches might fit together.

Latex, 77 pages (only), invited review for Physics Reports. v2: corrected typos + references added

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• D-branes, Monopoles and Nahm Equations
• Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
• The Noncommutative Bion Core
• Non-abelian Tensor-multiplet Anomalies
• The Self-Dual String Soliton
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• Branes and Calibrated Geometries
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• Brane-Waves and Strings
• Open membranes in a constant C-field background and noncommutative boundary strings
• Anomaly of (2,0) Theories
• M-Fivebrane from the Open Supermembrane
• A note on the M2-M5 brane system and fuzzy spheres
• Critical fields on the M5-brane and noncommutative open strings
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• Branes at angles and calibrated geometry
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• Goldstone Tensor Modes
• Deformations of Closed Strings and Topological Open Membranes
• Volume Preserving Diffeomorphism and Noncommutative Branes
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• Comments on the topological open membrane
• Norcor vs the Abominable Gauge Completion
• The Self-Dual String and Anomalies in the M5-brane
• Open membranes, ribbons and deformed Schild strings
• The metric and strong coupling limit of the M5-brane
• Calibrations, Monopoles and Fuzzy Funnels
• The Reduced Open Membrane Metric
• Finite N effects on the collapse of fuzzy spheres
• Dynamics of the DBI Spike Soliton
• A World-Volume Perspective on the Recombination of Intersecting Branes
• M2-branes stretching between M5-branes
• The (2,0) supersymmetric theory of tensor multiplets and self-dual strings in six dimensions
• Fluctuating Fuzzy Funnels
• BPS String Webs in the 6-dim (2,0) Theories
• The non-Abelian tensor multiplet in loop space
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• Supersymmetric coupling of a self-dual string to a (2,0) tensor multiplet background
• Aspects of M-5 brane world volume dynamics
• Thomson scattering of chiral tensors and scalars against a self-dual string
• Moduli and Brane Intersections
• Loop space, (2,0) theory, and solitonic strings
• Brane Intersections in the Presence of a Worldvolume Electric Field
• One dimensional M5-brane intersections

Cited by in corpus (55)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Comments on Multiple M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes
• M2 to D2
• n-ary algebras: a review with applications
• On instantons as Kaluza-Klein modes of M5-branes
• Nonabelian (2,0) Tensor Multiplets and 3-algebras
• Multiple Membranes in M-theory
• Membranes with a boundary
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Boundary Conditions for Interacting Membranes
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• Aspects of Multiple Membranes
• Brane Effective Actions, Kappa-Symmetry and Applications
• The Geometry, Branes and Applications of Exceptional Field Theory
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• From N M2's to N D2's
• 6D Fractional Quantum Hall Effect
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Lie 3-Algebra and Multiple M2-branes
• The Conformal Anomaly of M5-Branes
• $N^3$ entropy of M5 branes from dielectric effect
• A Complex Fermionic Tensor Model in $d$ Dimensions
• M2-M5 blackfold funnels
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• A note on Quantum Aspects of Multiple Membranes
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• Duality-symmetric actions for non-Abelian tensor fields
• Constructing Self-Dual Strings
• Near-Extremal Black Branes with n*3 Entropy Growth
• M-Theory and Maximally Supersymmetric Gauge Theories
• N=6 Membrane Worldvolume Superalgebra
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Wilson-Polyakov surfaces and M-theory branes
• Triality and Bagger-Lambert Theory
• N = 2 SCFTs: An M5-brane perspective
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• Flux Quantization on M5-branes
• Y-system for $\gamma$-deformed ABJM Theory
• Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality
• On Dielectric Membranes
• BPS preons and the AdS-M-algebra
• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• M2 to D2 and vice versa by 3-Lie and Lie bialgebra
• M5-branes in AdS${}_4\times Q^{1,1,1}$ spacetime
• Gauge potentials on the M5 brane in twisted equivariant cohomotopy
• Membranes, Strings and Integrability
• Hypermatrix factors for string and membrane junctions
• Possible Dark States induced by a Surface Wave along a Vacuum-Matter Boundary
• Six-Dimensional Yang Black Holes in Dilaton Gravity