Comments on bounds on central charges in 𝒩 = 1 superconformal theories

2008/12/31 by Andrei Parnachev, Shlomo S. Razamat
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/07/010

published as JHEP 0907:010,2009 · 20 pages, 14 figures, harvmac, v2: a reference added

arxiv created 2009/01/12 · openalex publication_date 2009/07/03 · arxiv updated 2009/12/01 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28

Abstract

The ratio of central charges in four-dimensional CFTs has been suggested by Hofman and Maldacena to lie within an interval whose boundaries are fixed by the number of supersymmetries. We compute this ratio for a set of interacting N=1 superconformal field theories which arise as RG fixed points of supersymmetric Yang-Mills theories with adjoint and fundamental matter. We do not find violations of the proposed bounds, which appear to be saturated by free field theories.

Citations

• New Results on the "a-theorem" in Four Dimensional Supersymmetric Field Theory
• Is there a c-theorem in four dimensions?
• Conformal collider physics: Energy and charge correlations
• Evidence for the strongest version of the 4d a-theorem via a-maximization along RG flows