vix.ing · top · new · best · stats · spec

Chiral theories of class S S

2015/05/31 by Amihay Hanany, Kazunobu Maruyoshi · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Cosmology and Gravitation Theories #Gauge theory #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Orbifold #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quiver #Riemann surface #Seiberg duality #Singularity #Supersymmetric gauge theory #Surface (topology) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep12(2015)080

33 pages, 20 figures; v2: a discussion on the central charges in the case with U(1) curvatures in section 5.2 is corrected

arxiv created 2015/10/01 · openalex publication_date 2015/12/01 · arxiv updated 2016/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1, 0) theory, on M5-branes on ℂ2/ℤk orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the ’t Hooft anomalies of the global symmetries and central charges.

Citations

Cited by