1999/03/31 by C. P. Bachas, Constantin P Bachas, P. Bain +3 · 198 citations
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Curvature #Duality (order theory) #Effective action #Intersection (aeronautics) #Massless particle #Noncommutative and Quantum Gravity Theories #Quantum field theory #Scattering #String (physics) #Supergravity #hep-th
paper · pdf · doi:10.1088/1126-6708/1999/05/011
published in Journal of High Energy Physics 1999(05), 011 (Springer Nature) · tex file, 31 pages, uses harvmac. Some rewriting of section 2, conclusions and appendix B, in particular in what concerns the discussion of seven-branes in the conclusions and the structure of $α'^2$ terms in appendix B. Other minor corrections plus added references
arxiv created 1999/04/13 · openalex publication_date 1999/05/07 · openalex created_date 2016/06/24 · arxiv updated 2017/09/07 · openalex updated_date 2026/08/05
We derive the complete (curvature)2 terms of effective D-brane actions, for arbitrary ambient geometries and world-volume embeddings, at lowest order (disk-level) in the string-loop expansion. These terms reproduce the o(α'2) corrections to string scattering amplitudes, and are consistent with duality conjectures. In the particular case of the D3-brane with trivial normal bundle, considerations of SL(2,ℤ) invariance lead to a complete sum of D-instanton corrections for both the parity-conserving and the parity-violating parts of the effective action. These corrections are required for the cancellation of the modular anomalies of massless modes, and are consistent with the absence of chiral anomalies in the intersection domain of pairs of D-branes. We also show that the parity-conserving part of the non-perturbative R2 action follows from a one-loop quantum calculation in the six-dimensional world-volume of the M5-brane compactified on a two-torus.