Let us twist again: N = 2 super-YangMills theory coupled to matter

Nicola Maggiore (1) , Marco Picollo (2)

1 Sezione di Genova
2 Dipartimento di Fisica

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 algebraic proof of the non-renormalization theorems holding for N=2 SYM theory without matter. Nos: 03.70.+k (theory of quantized fields), 11.10.Gh (renormalization), 11.30.Pb (supersymmetry), 12.60.Jv (supersymmetric models).

Mots clés: Topological Quantum Field Theories; Extended Supersymmetry; BRST Renor- malization. PACS

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Nicola Maggiore, Marco Picollo. Let us twist again: N = 2 super-YangMills theory coupled to matter. Classical and Quantum Gravity, 2011, 28 (8), pp.85022. ⟨10.1088/0264-9381/28/8/085022⟩. ⟨hal-00690078⟩