2021/12/19 by Jacques Distler, Distler, Jacques, Behzat Ergun +3
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.48550/arxiv.2112.10227
32 pages, 39 figures
arxiv created 2021/12/19 · openalex publication_date 2021/12/19 · arxiv updated 2021/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study theories of type D4 in class-S, with nonabelian outer-automorphism twists around various cycles of the punctured Riemann surface C. We propose an extension of previous formulæ for the superconformal index to cover this case and classify the SCFTs corresponding to fixtures (3-punctured spheres). We then go on to study families of SCFTs corresponding to once-punctured tori and 4-punctured spheres. These exhibit new behaviours, not seen in previous investigations. In particular, the generic theory with 4 punctures on the sphere from non-commuting ℤ2 twisted sectors has six distinct weakly-coupled descriptions.