文档介绍：1. INTRODUCTION
. Introductory remarks on supersymmetry.
. Classical mechanics, the ic, and gravitational fields.
. Principles of quantum mechanics.
. Symmetries and projective unitary representations.
. Poincar´esymmetry and particle classification.
. Vector bundles and wave equations. The Maxwell, Dirac, and Weyl -
equations.
. Bosons and fermions.
. Supersymmetry as the symmetry of Z2–graded geometry.
. Introductory remarks on supersymmetry. The subject of supersymme-
try (SUSY) is a part of the theory of elementary particles and their interactions
and the still unfinished quest of obtaining a unified view of all the elementary forces
in a patible with quantum theory and general relativity. Supersymme-
try was discovered in the early 1970’s, and in the intervening years has e a
ponent of theoretical physics. Its novel mathematical features have led
to a deeper understanding of the geometrical structure of spacetime, a theme to
which great thinkers like Riemann, Poincar´e,Einstein, Weyl, and many others have
contributed.
Symmetry has always played a fundamental role in quantum theory: rotational
symmetry in the theory of spin, Poincar´esymmetry in the classification of elemen-
tary particles, and permutation symmetry in the treatment of systems of identical
particles. Supersymmetry is a new kind of symmetry which was discovered by the
physicists in the early 1970’s. However, it is different from all other discoveries in
physics in the sense that there has been no experimental evidence supporting it
so far. Nevertheless an enormous effort has been expended by many physicists in
developing it because of its many unique features and also because of its beauty
and coherence1. Here are some of its salient features2:
1
• It gives rise to symmetries between bosons and fermions at a fundamental
level.
• Supersymmetric quantum field theories have “softer” divergences.
• Supersymmetric string theory (superstri