Conformal invariance and finiteness theorems for non-planar beta-deformed N=4 SYM theory

2007/10/25 by Federico Elmetti, Elmetti, Federico, Andrea Mauri +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.0710.4864

LaTex, 16 pages, 10 figures

arxiv created 2007/10/25 · openalex publication_date 2007/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the conformal invariance of non-planar beta-deformed N=4 SYM theory using the coupling constant reduction (CCR) formalism. We show that up to order g¹0, differently from the planar case, we can remove the scheme dependence in the definition of the theory without reducing to the real beta case. We also compute the gauge beta function up to four loops and see that the generalized finiteness theorems proposed in [hep-th: 0705.1483] still hold.

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