出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We discuss a new approach to putting supersymmetric theories on the lattice. The basic idea is to
start from a twisted formulation of the underlying supersymmetric theory in which the fermions
are represented as grassmann valued antisymmetric tensor fields. The original supersymmetry
algebra is replaced by a twisted algebra which contains a scalar nilpotent supercharge Q. Furthermore
the action of the theory can then be written as the Q-variation of some function. The
case of N = 2 super Yang-Mills theory in two dimensions is discussed in some detail. We then
present our proposal for discretizing this theory and derive the resultant lattice action. The latter is
local, free of spectrum doubling, gauge invariant and preserves the scalar supercharge invariance
exactly. Some preliminary numerical results are then presented. The approach can be naturally
generalized to yield a lattice action for N = 4 super Yang-Mills in four dimensions.
