Supersymmetric Mechanics – Vol. 1: Supersymmetry, Noncommutativity and Matrix Models

S. Bellucci, S.J. Gates Jr., E. Orazi (auth.), Stefano Bellucci (eds.)9783540333135, 9783540333142, 3540333134, 9783540341567, 3540341560, 9783540795223, 9783540795230

This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The selected topics include supersymmetry and supergravity, the attractor mechanism, black holes, noncommutative mechanics, super-Hamiltonian formalism and matrix models. All lectures are intended for beginners at the graduate level and nonspecialists from related fields of research and a substantial effort was made to incorporate in the extensive write-ups the results of the animated discussion sessions which followed the individual lectures. A second volume appears as

Lecture Notes Physics, Vol. 701 “Supersymmetric Mechanics – Vol. 2 : The Attractor Mechanism” (2006), ISBN: 3-540-34156-0.

Table of contents :
A Journey Through Garden Algebras….Pages 1-47
Supersymmetric Mechanics in Superspace….Pages 49-96
Noncommutative Mechanics, Landau Levels, Twistors, and Yang–Mills Amplitudes….Pages 97-138
Elements of (Super-)Hamiltonian Formalism….Pages 139-188
Matrix Models….Pages 189-225