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D‐effects in Toroidally Compactified Type II String Theory
Author(s) -
Pioline Boris,
Pioline Boris
Publication year - 1999
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(199901)47:1/3<271::aid-prop271>3.0.co;2-s
Subject(s) - compactification (mathematics) , physics , instanton , theoretical physics , mathematical physics , type i string theory , string theory , supersymmetry , string field theory , semiclassical physics , gauge theory , string (physics) , non critical string theory , heterotic string theory , string duality , supergravity , relationship between string theory and quantum field theory , quantum mechanics , quantum , quantum gravity , pure mathematics , mathematics
We review exact results obtained for R 4 couplings in maximally supersymmetric type II string theories. These couplings offer a privileged scene to understand the rules of semiclassical calculus in string theory. Upon expansion in weak string coupling, they reveal an infinite sum of non‐perturbative e —1/ g effects that can be imputed to euclidean D‐branes wrapped on cycles of the compactification manifolds. They also shed light on the relation between Dp‐branes and D‐(p‐2)branes, D‐strings and ( p , q ) strings, instanton sums and soliton loops. The latter interpretation takes over in D ≤ 6 in order to account for the e —1/ g 2effects, still mysterious from the point of view of instanton calculus.