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U-duality and D-brane Combinatorics

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arxiv hep-th/9710078 v2 pith:JVSS6RFR submitted 1997-10-08 hep-th

B.Pioline , E.Kiritsis This is my paper · ORCID
classification hep-th
keywords d-branebranescompactificationconfigurationscontributionscouplingsinstantonslambda
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We investigate D-brane instanton contributions to R^4 couplings in any toroidal compactification of type II theories. Starting from the 11D supergravity one-loop four-graviton amplitude computed by Green, Gutperle and Vanhove, we derive the non-perturbative O(e^{-1/\lambda}) corrections to R^4 couplings by a sequence of T-dualities, and interpret them as precise configurations of bound states of D-branes wrapping cycles of the compactification torus. Dp-branes explicitely appear as fluxes on D(p+2)-branes, and as gauge instantons on D(p+4)-branes. Specific rules for weighting these contributions are obtained, which should carry over to more general situations. Furthermore, it is shown that U-duality in D<=6 relates these D-brane configurations to O(e^{-1/\lambda^2}) instantons for which a geometric interpretation is still lacking.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Symmetries of non-maximal supergravities with higher-derivative corrections

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.

  2. Exploring types I and IIA effective actions through T-duality

    hep-th 2024-12 conditional novelty 5.0 of 10

    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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