Perturbative couplings and modular forms in N = 2 string models with a Wilson line

1996/08/31 by Gabriel Lopes Cardoso, Gottfried Curio, Dieter Lust · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Class (philosophy) #Duality (order theory) #Heterotic string theory #Homotopy and Cohomology in Algebraic Topology #Instanton #Modular form #String (physics) #String duality #String theory #Type (biology) #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00047-3

published as Nucl.Phys.B491:147-183,1997 · 42 pages, LaTeX, revised version contains additional references

arxiv created 1996/09/06 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a class of four parameter D=4, N=2 string models, namely heterotic strings compactified on K3 times T2 together with their dual type II partners on Calabi-Yau three-folds. With the help of generalized modular forms (such as Siegel and Jacobi forms), we compute the perturbative prepotential and the perturbative Wilsonian gravitational coupling F1 for each of the models in this class. We check heterotic/type II duality for one of the models by relating the modular forms in the heterotic description to the known instanton numbers in the type II description. We comment on the relation of our results to recent proposals for closely related models.

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
• Moduli corrections to gravitational couplings from string loops
• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory
• Algebras, BPS states, and strings
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• STRONG–WEAK COUPLING DUALITY IN FOUR-DIMENSIONAL STRING THEORY
• Unity of superstring dualities
• K3-fibrations and heterotic-type II string duality
• Non-perturbative results on the point particle limit of N = 2 heterotic string compactifications
• Exact results for N = 2 compactifications of heterotic strings

Cited by

• Systematics of string loop threshold corrections in orbifold models