Non minimal D-type conformal matter compactified on three punctured spheres

Abstract

Abstract We study compactifications of 6d non minimal (D p+3 , D p+3) type conformal matter. These can be described by N M5-branes probing a D p+3-type singularity. We derive 4d Lagrangians corresponding to compactifications of such 6d SCFTs on three punctured spheres (trinions) with two maximal punctures and one minimal puncture. The trinion models are described by simple N $$ \mathcal{N} $$ = 1 quivers with SU(2N) gauge nodes. We derive the trinion Lagrangians using RG flows between the aforementioned 6d SCFTs with different values of p and their relations to matching RG flows in their compactifications to 4d. The suggested trinions are shown to reduce to known models in the minimal case of N = 1. Additional checks are made to show the new minimal punctures uphold the expected S-duality between models in which we exchange two such punctures. We also show that closing the new minimal puncture leads to expected flux tube models.

Keywords

• Field Theories in Higher Dimensions
• Supersymmetric Gauge Theory
• Supersymmetry and Duality