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On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
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abstract
We obtain the exact non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribution of the D-instantons and of the (p,q)-string instantons. The invariance under U-duality is made manifest by rewriting the sum as a non-holomorphic modular function of the corresponding discrete U-duality group. In the eight-dimensional case, the threshold is the sum of a order-1 Eisenstein series for SL(2,Z) and a order-3/2 Eisenstein series for SL(3,Z). The seven-dimensional result is given by the order-3/2 Eisenstein series for SL(5,Z). We also conjecture formulae for the non-perturbative thresholds in lower dimensional compactifications and discuss the relation with M-theory.
Forward citations
Cited by 2 Pith papers
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Symmetries of non-maximal supergravities with higher-derivative corrections
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T-duality between type I on S^1 and type I' on S^1/Z2 determines all leading two-derivative couplings in the untwisted sectors, reproducing standard type I and type IIA actions except the IIA Chern-Simons term.
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