Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-21
Phys.Lett.B408:122-134,1997
Physics
High Energy Physics
High Energy Physics - Theory
harvmac (b) 17 pages. v4: Some formulae corrected. Dimensions corrected for eleven-dimensional expressions
Scientific paper
10.1016/S0370-2693(97)00785-5
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 Sl(2,Z) 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.
Green Michael B.
Vanhove Pierre
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