Tools for supersymmetry

Abstract

This is an elementary introduction to basic tools of supersymmetry: the spacetime symmetries, gauge theory and its application in gravity, spinors and superalgebras. Special attention is devoted to conformal and anti-de Sitter algebras.

49 pages; Lectures in the spring school in Calimanesti, Romania, April 1998; v2: one typo corrected, and some clarification in the text; v3: a sign in (2.62) corrected; v4: a factor in (3.44); v5: correction to real forms of exceptional superalgebras; v6: sign correction in (3.25); v7: type in table 5: dim F(4)

References in corpus (1)

• M-brane intersections from worldvolume superalgebras

Cited by in corpus (19)

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• String Theory Effects on Five-Dimensional Black Hole Physics
• String Solitons and T-duality
• Black holes on cylinders are not algebraically special
• Topological gravity and transgression holography
• Gauging Maximal Supergravities
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Deformations of Maxwell Superalgebras and Their Applications
• AdS${}_{\text{2}}$ solutions and their massive IIA origin
• Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics
• Brane-Worlds Pseudo-Goldstinos
• N=4 Superconformal Mechanics and Black Holes
• Domain Wall/Cosmology correspondence in (AdS/dS)_6 x S^4 geometries
• New spinor classes on the Graf-Clifford algebra
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• Dual multiplets in N=4 superconformal mechanics
• Half-BPS cosmic string in N=2 supergravity in the presence of a dilaton
• Majorana neutrinos from warped extra dimensions
• Twisted 3D $N=4$ Supersymmetric YM on deformed ${\mathbb{A}}_3^{\ast }$ Lattice