A new vista on the Heterotic Moduli Space from Six and Three Dimensions

Abstract

We settle a long-standing question about the hypermultiplet moduli spaces of the heterotic strings on ALE singularities. These heterotic backgrounds are specified by the singularity type, an instanton number, and a (nontrivial) flat connection at infinity. Building on their interpretation as six-dimensional theories, we determine a class of three-dimensional $\mathcal{N}=4$ quiver gauge theories whose quantum corrected Coulomb branch coincides with the exact heterotic hypermultiplet moduli space.

v3: improved introduction, version published in PRD Letters; v2: citations added; 6 pages, 2 columns

References in corpus (6)

• 6d Conformal Matter
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Back to Heterotic Strings on ALE Spaces: Part I -- Instantons, 2-groups and T-duality
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings

Cited by in corpus (4)

• Orthosymplectic Quotient Quiver Subtraction
• Quotient Quiver Subtraction
• Atomic Higgsings of 6D SCFTs
• Quiver Polymerisation