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.

arXiv commentv3: improved introduction, version published in PRD Letters; v2: citations added; 6 pages, 2 columns

References in corpus (31)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• Small Instantons in String Theory
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• 6d Conformal Matter
• Branes and Six Dimensional Supersymmetric Theories
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Point-like Instantons on K3 Orbifolds
• World-Sheet Corrections Via D-Instantons
• Consistency Conditions for Branes at Orbifold Singularities
• Three Dimensional Gauge Theories and Monopoles
• Instantons, Three-Dimensional Gauge Theory, and the Atiyah-Hitchin Manifold
• F-theory and the Classification of Little Strings
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Discrete Gauging in Six Dimensions
• Fission, Fusion, and 6D RG Flows
• On the hyperkaehler/quaternion Kaehler correspondence
• Monopoles in String Theory
• Heterotic String Conformal Field Theory And A-D-E Singularities
• 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
• Heterotic String Corrections from the Dual Type II String
• Three-Dimensional Gauge Theories and ADE Monopoles
• Hypermultiplet Moduli Space and Three Dimensional Gauge Theories
• Conformal Field Theories on K3 and Three-Dimensional Gauge Theories

Cited by in corpus (4)

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