M-theory from its superalgebra

Abstract

These lectures explore what can be learnt about M-theory from its superalgebra. The first three lectures introduce the 'basic' branes of M-theory, and type II superstring theories, and show how the duality relations between them are encoded in the respective spacetime superalgebras. The fourth lecture introduces brane intersections and explains how they are encoded in the worldvolume superalgebras.

43 pp. Cargese lectures 1997. Minor errors corrected, as in previous revisions

Cited by in corpus (67)

• U-duality and M-Theory
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
• The geometry of branes and extended superspaces
• String Solitons and T-duality
• On Domain-Wall/QFT Dualities in Various Dimensions
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• Branes on Generalized Calibrated Submanifolds
• 7-Branes and Higher Kaluza-Klein Branes
• On M-9-branes
• G/H M-branes and AdS_{p+2} Geometries
• Brane Effective Actions, Kappa-Symmetry and Applications
• BPS solutions of a D5-brane worldvolume in a D3-brane background from superalgebras
• An E9 multiplet of BPS states
• On the underlying gauge group structure of D=11 supergravity
• On the formulation of D=11 supergravity and the composite nature of its three-from field
• M-theory on manifolds of G2 holonomy: the first twenty years
• Minimal D=4 supergravity from the superMaxwell algebra
• Rules for Localized Overlappings and Intersections of p-Branes
• Supersymmetric Domain Walls
• IIB-Branes and New Spacetime Superalgebras
• More on the Hidden Symmetries of 11D Supergravity
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Rotating Rotated Branes
• Higher Spins from Nonlinear Realizations of $OSp(1|8)$
• T-duality Covariance of SuperD-branes
• Strings in a Space with Tensor Central Charge Coordinates
• Transgression forms as unifying principle in field theory
• Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
• Supermatrix models for M-theory based on osp(1|32,R)
• Generalized Holonomy of Supergravities with 8 Real Supercharges
• Fundamental branes and shock waves
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• BPS States in 10+2 Dimensions
• Analytic tools to brane technology in N=2 gauge theories with matter
• Uniform Twistor-Like Formulation of Massive and Massless Superparticles with Tensorial Central Charges
• Superbranes, D=11 CJS supergravity and enlarged superspace coordinates/fields correspondence
• Euclidean Actions, Instantons, Solitons and Supersymmetry
• On the hidden symmetries of $D=11$ supergravity
• Non-Linear Realization of ${\aleph }_0$-Extended Supersymmetry
• Extended Jackiw-Pi Model and Its Supersymmetrization
• Erice lectures on "The status of local supersymmetry"
• BPS preons and the AdS-M-algebra
• Representations of p-brane topological charge algebras
• Topological BPS charges in 10 and 11-dimensional supergravity
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• A Solution to the Doublet-Triplet Splitting Problem in the Type IIB Supergravity
• Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA
• World-volume Solitons of the D3-brane in the Background of (p,q) Five-branes
• The NUT in the N=2 Superalgebra
• Quantum Energies and Tensorial Central Charges of Confined Monopoles
• Worldvolume Dynamics of Branes
• Aspects of Supersymmetry in Multiple Membrane Theories
• On an (Interacting) Field Theories With Tensorial Momentum
• From Special Geometry to Black Hole Partition Functions
• Superalgebras from D-brane actions
• Superalgebras from $p$-brane actions
• Contractions from $osp(1|32)\oplus osp(1|32)$ to the M-theory superalgebra extended by additional fermionic generators
• Gravitational monopoles, anomalies and M$E_8$ bundles
• Supergravity Vacua Today
• Proceedings to the 'Euroconference on Symmetries Beyond the Standard Model',12. - 17. July 2003, Portoroz, Slovenia (Part 2 of 2)
• Tensorial Quantum Gravity and the Cosmological Constant Problem
• Hidden Symmetries of M Theory
• Entropy of bound states in the matrix description of M5-branes
• Domain Walls, The Extended Superconformal Algebra, and The Supercurrent