Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II): Nonrenormalization Theorems
S. Stieberger, T. R. Taylor
Abstract
Type I - heterotic duality in D=10 predicts various relations and constraints on higher order Fn couplings at different string loop levels on both sides. We prove the vanishing of two-loop corrections to the heterotic F4 terms, which is one of the basic predictions from this duality. Furthermore, we show that the heterotic F5 and (CP even) F6 couplings are not renormalized at one loop. These results strengthen the conjecture that in D=10 any Tr F(2n) coupling appears only at the disc tree-level on type I side and at (n-1)-loop level on the heterotic side. Our non-renormalization theorems are valid in any heterotic string vacuum with sixteen supercharges.
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