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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, final version to be published on CQG

Scientific paper

10.1088/0264-9381/28/8/085022

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

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