Non-perturbative results on the point particle limit of N = 2 heterotic string compactifications

1995/08/29 by S. Kachru, Shamit Kachru, A. Klemm +6 · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Gauge (firearms) #Geometry #Geometry and complex manifolds #Heterotic string theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Non-critical string theory #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Relationship between string theory and quantum field theory #S-duality #String (physics) #String duality #String field theory #Theoretical physics #Type I string theory #hep-th

paper · pdf · doi:10.1016/0550-3213(95)00574-9

published as Nucl.Phys.B459:537-558,1996 · 25 pages, harvmac, 2 eps-figures

arxiv created 1995/08/29 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

Using heterotic/type II string duality, we obtain exact nonperturbative results for the point particle limit (alpha' -> 0) of some particular four dimensional, N=2 supersymmetric compactifications of heterotic strings. This allows us to recover recent exact nonperturbative results on N=2 gauge theory directly from tree-level type II string theory, which provides a highly non-trivial, quantitative check on the proposed string duality. We also investigate to what extent the relevant singular limits of Calabi-Yau manifolds are related to the Riemann surfaces that underlie rigid N=2 gauge theory.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Strong-weak coupling duality and non-perturbative effects in string theory
• String theory dynamics in various dimensions
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• STRONG–WEAK COUPLING DUALITY IN FOUR-DIMENSIONAL STRING THEORY
• Unity of superstring dualities
• K3-fibrations and heterotic-type II string duality

Cited by

• On the duality between the heterotic string and F-theory in 8 dimensions
• Perturbative couplings and modular forms in N = 2 string models with a Wilson line
• Higher-order gravitational couplings and modular forms in N = 2, D = 4 heterotic string compactifications
• Non-perturbative triality in heterotic and type II N = 2 strings
• Black hole attractors and the topological string
• Gerbes and Duality
• Direct integration for general Omega backgrounds