2005/09/19 by Mauro Brigante, Guido Festuccia, Hong Liu · 15 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Conformal map #Cosmology and Gravitation Theories #Euclidean geometry #Gauge theory #Invariant (physics) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #hep-th
paper · pdf · doi:10.1016/j.physletb.2006.05.025
published in Physics Letters B 638(5-6), 538-545 (Elsevier BV) · 14 pages, uses harvmac v2: reference added, the role of hep-th/0505148 emphasized
arxiv created 2005/09/19 · openalex publication_date 2006/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present a general proof of an “inheritance principle” satisfied by a weakly coupled SU(N) gauge theory with adjoint matter on a class of compact manifolds (like S3). In the large N limit, finite temperature correlation functions of gauge invariant single-trace operators in the low temperature phase are related to those at zero temperature by summing over images of each operator in the Euclidean time direction. As a consequence, various non-renormalization theorems of N=4 super-Yang–Mills theory on S3 survive at finite temperature despite the fact that the conformal and supersymmetries are both broken.