Let's Twist Again: N=2 Super Yang Mills Theory Coupled To Matter

摘要

We give the twisted version of N=2 Super Yang Mills theory coupled to matter,including quantum fields, supersymmetry transformations, action and algebraicstructure. We show that the whole action, coupled to matter, can be written asthe variation of a nilpotent operator, modulo field equations. An extendedSlavnov-Taylor identity, collecting gauge symmetry and supersymmetry, iswritten, which allows to define the web of algebraic constraints, in view ofthe algebraic renormalization and of the extension of the non-renormalizationtheorems holding for N=2 SYM theory without matter.