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Let us twist again: N = 2 super-Yang–Mills theory coupled to matter

2010/10/31 by Nicola Maggiore, Marco Picollo
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/0264-9381/28/8/085022

published as Class.Quant.Grav.28:085022,2011 · 28 pages, final version to be published on CQG

arxiv created 2011/03/09 · openalex publication_date 2011/04/04 · arxiv updated 2011/04/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Abstract\nWe 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).

Citations