On the two-loop divergences of the 2-point hypermultiplet supergraphs for 6D, N=(1,1) SYM theory

2017/11/30 by I. L. Buchbinder, E. A. Ivanov, E.A. Ivanov +3 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Field (mathematics) #Geometry #Harmonic #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Philosophy #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scroll #Theology #hep-th

paper · pdf · doi:10.1016/j.physletb.2018.01.040

8 pages, 2 figures

arxiv created 2017/12/10 · openalex created_date 2017/12/22 · openalex publication_date 2018/01/20 · arxiv updated 2018/02/01 · openalex updated_date 2026/08/05

Abstract

We consider 6D, N=(1,1) supersymmetric Yang–Mills theory formulated in N=(1,0) harmonic superspace and analyze the structure of the two-loop divergences in the hypermultiplet sector. Using the N=(1,0) superfield background field method we study the two-point supergraphs with the hypermultiplet legs and prove that their total contribution to the divergent part of effective action vanishes off shell.

Citations

• The ultra-violet question in maximally supersymmetric field theories
• Supersymmetry counterterms revisited
• A note on the UV behaviour of maximally supersymmetric Yang–Mills theories

Cited by

• On the two-loop divergences in 6D, N=(1,1) SYM theory
• Higher-dimensional invariants in 6D super Yang-Mills theory