Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-11
Nucl.Phys.B467:383-398,1996
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, harvmac
Scientific paper
10.1016/0550-3213(96)00080-6
We compare order $R^4$ terms in the 10-dimensional effective actions of SO(32) heterotic and type I superstrings from the point of view of duality between the two theories. Some of these terms do not receive higher-loop corrections being related by supersymmetry to `anomaly-cancelling' terms which depend on the antisymmetric 2-tensor. At the same time, the consistency of duality relation implies that the `tree-level' $R^4$ super-invariant (the one which has $\zeta(3)$-coefficient in the sphere part of the action) should appear also at higher orders of loop expansion, i.e. should be multiplied by a non-trivial function of the dilaton.
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