Heterotic versus Type I

Abstract

I compare the calculations of special $F^4$ and $R^4$ terms in the (toroidally-compactified) heterotic and type-I effective actions. Besides checking duality, this elucidates the quantitative rules of D-brane calculus. I explain in particular (a) why D-branes do not run in loops, and (b) how their instanton contributions arise from orbifold fixed points of their moduli space. The instanton sum has a simple representation as a sum of the elliptic genera of matrix models.

7 pages, Latex, one figure, uses espcrc2.sty, Talk at STRINGS'97 (Amsterdam, June 16-21) and HEP-97 (Jerusalem, August 19-26). A misprint in an equation was corrected

References in corpus (5)

• Lectures on D-branes
• On Gauge Bosons in the Matrix Model Approach to M Theory
• Heterotic Matrix String Theory
• Zero and One-dimensional Probes with N=8 Supersymmetry
• Duality of N=2 Heterotic -- Type I Compactifications in Four Dimensions

Cited by in corpus (25)

• Lectures on D-branes
• Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function
• Non-perturbative and Flux superpotentials for Type I strings on the Z_3 orbifold
• Heterotic/Type II Triality and Instantons on $K_3$
• Power Towers of String Instantons for N=1 Vacua
• Exotic instanton counting and heterotic/type I' duality
• D-instanton partition functions
• Matrix String Partition Functions
• On mass hierarchies in orientifold vacua
• Divergences in Kaluza-Klein Models and their String Regularization
• SU(5) orientifolds, Yukawa couplings, Stringy Instantons and Proton Decay
• An R^4 non-renormalisation theorem in N=4 supergravity
• D-strings in unconventional type I vacuum configurations
• Stringy instanton corrections to N=2 gauge couplings
• Comments on Orientifolds without Vector Structure
• Instantons in $\mathcal{N}=2$ $Sp(N)$ Superconformal Gauge Theories and the AdS/CFT Correspondence
• Classical solutions for exotic instantons?
• Unoriented D-brane Instantons vs Heterotic worldsheet Instantons
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• D1/D5 systems in $\mathcal{N}=4$ string theories
• Fivebrane instantons and higher derivative couplings in type I theory
• One-loop and D-instanton corrections to the effective action of open string models
• Notes on unoriented D-brane instantons
• Stringy instantons and dualities
• Instanton corrections to the effective action of the CHL string and its type I dual