Point-like instantons on K3 orbifolds

1997/05/31 by Paul S. Aspinwall, David R. Morrison · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #Gravitational singularity #Heterotic string theory #Instanton #Moduli #Moduli space #Quantum Chromodynamics and Particle Interactions #Simple (philosophy) #String (physics) #Type (biology) #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00516-6

published as Nucl.Phys. B503 (1997) 533-564 · 35 pages, many embedded figures. Caveat added concerning result 4

arxiv created 1997/09/03 · openalex publication_date 1997/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The map between the moduli space of F-theory (or type II string) compactifications and heterotic string compactifications can be considerably simplified by using "stable degenerations". We discuss how this method applies to both the E8 x E8 and the Spin(32)/Z2 heterotic string. As a simple application of this method we derive some basic properties of the nonperturbative physics of collections of E8 or Spin(32)/Z2 point-like instantons sitting at A-D-E singularities on a K3 surface.

Citations

• String theory dynamics in various dimensions
• On the duality between the heterotic string and F-theory in 8 dimensions
• Evidence for F-theory
• Point-like instantons and the heterotic string
• Generalized Green-Schwarz mechanism in F theory
• Geometric singularities and enhanced gauge symmetries
• Non-trivial fixed points of the renormalization group in six dimensions
• Phases of N = 2 theories in two dimensions
• RG fixed points in six dimensions via branes at orbifold singularities
• Exact results for N = 2 compactifications of heterotic strings

Cited by

• Non-perturbative Symmetries of Little Strings and Affine Quiver Algebras
• Self-duality and self-similarity of little string orbifolds