Open AccessSuper-Galilei invariant field theories in 2+1 dimensions
Author(s) -
Oren Bergman,
Charles B. Thorn
Publication year - 1995
Language(s) - English
Resource type - Reports
DOI - 10.2172/179291
Subject(s) - superstring theory , invariant (physics) , field (mathematics) , field theory (psychology) , mathematics , matrix (chemical analysis) , algebra over a field , generalization , supersymmetry , theoretical physics , physics , pure mathematics , mathematical physics , mathematical analysis , materials science , composite material
The authors extend the Galilei group of space-time transformations by gradation, construct interacting field-theoretic representations of this algebra, and show that non-relativistic Super-Chern-Simons theory is a special case. They also study the generalization to matrix valued fields, which are relevant to the formulation of superstring theory as a 1/N{sub c} expansion of a field theory. The authors find that in the matrix case, the field theory is much more restricted by the supersymmetry