Publication : t97/191

D-Instantons, strings ans M-theory

Green M.B. (DAMTP)
Vanhove P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:
The $R^4$ terms in the effective action for M-theory compactified on a two-torus are motivated by combining one-loop results in type II superstring theories with the $\Sl2$ duality symmetry. The conjectured expression reproduces precisely the tree-level and one-loop $R^4$ terms in the effective action of the type II string theories compactified on a circle, together with the expected infinite sum of instanton corrections. This conjecture implies that the $R^4$ terms in ten-dimensional string type II theories receive no perturbative corrections beyond one loop and there are also no non-perturbative corrections in the ten-dimensional IIA theory. Furthermore, the eleven-dimensional M-theory limit exists, in which there is an $R^4$ term that originates entirely from the one-loop contribution in the type IIA theory and is related by supersymmetry to the eleven-form $C^{(3)}R^4$. The generalization to compactification on $T^3$ as well as implications for non-renormalization theorems in D-string and D-particle interactions are briefly discussed.
Année de publication : 1997
Publication extérieure au service
Revue : Phys. Lett. B 408 122 (1997)
Preprint : arXiv:hep-th/9704145
Langue : Anglais

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