Abstract
We determine 5d mathcal{N} = 1 SCFTs originating from 6d (En, Em) conformal matter theories with n ≠ m by circle reduction and mass deformations. The marginal geometries are constructed and we derive their combined fiber diagrams (CFDs). The CFDs allow for an enumeration of descendant SCFTs obtained by decoupling matter hypermultiplets and a description of candidate weakly coupled quivers.
Highlights
3-fold used to engineer the 6d SCFT
Much of the resolution independent data of the surface S can be subsumed into combined fiber diagrams (CFDs), introduced in [12, 13], which manifestly encode many properties of the SCFT such as the superconformal flavor symmetry, BPS states, mass deformations and possible quiver descriptions
Much of the SCFT data can be captured in so called combined fiber diagrams (CFDs) which effectively depict the Mori-cone of S [12,13,14] together with curves of vanishing self-intersection
Summary
At generic points of its Coulomb branch the field content is given by r massless U(1) vector multiplets and massive hypermultiplets associated with the W-bosons of the broken gauge symmetry and the original matter multiplets. Given a basis of Kähler classes Ji ∈ H1,1(Z3) of unit volume and defining coordinates J = φiJi the triple intersections cijk = Si · Sj · Sk = Z3 Ji ∧ Jj ∧ Jk set the cubic term of the prepotential. For suitably chosen mass deformations this procedure results in a family of 5d SCFTs enumerated by partial resolutions of X3. These SCFTs are thereby derived from the smooth geometry Z3 of the 5d marginal theory, they are referred to as descendants of the marginal theory. The starting point to the analysis of this tree of descendants and their properties is the marginal geometry Z3
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