Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II): Nonrenormalization Theorems

Details Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II): Nonrenormalization Theorems Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II): Nonrenormalization Theorems

2002-09-09

arxiv.org/abs/hep-th/0209064v3

Nucl.Phys. B648 (2003) 3-34

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, harvmac; cosmetic changes; final version to appear in NPB

Scientific paper

10.1016/S0550-3213(02)00979-3

Type I - heterotic duality in D=10 predicts various relations and constraints on higher order F^n couplings at different string loop levels on both sides. We prove the vanishing of two-loop corrections to the heterotic F^4 terms, which is one of the basic predictions from this duality. Furthermore, we show that the heterotic F^5 and (CP even) F^6 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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