2007/10/31 by Paul Koerber, Luca Martucci · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/01/047
published as JHEP 0801:047,2008 · 43 pages, 2 pictures, 1 table; v2: added references, color to figure and corrected typo in (6.21b)
arxiv created 2008/01/17 · openalex publication_date 2008/01/24 · arxiv updated 2011/02/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study D-branes in N=1 flux compactifications to AdS4. We derive their supersymmetry conditions and express them in terms of background generalized calibrations. Basically because AdS has a boundary, the analysis of stability is more subtle and qualitatively different from the usual case of Minkowski compactifications. For instance, stable D-branes filling AdS4 may wrap trivial internal cycles. Our analysis gives a geometric realization of the four-dimensional field theory approach of Freedman and collaborators. Furthermore, the one-to-one correspondence between the supersymmetry conditions of the background and the existence of generalized calibrations for D-branes is clarified and extended to any supersymmetric flux background that admits a time-like Killing vector and for which all fields are time-independent with respect to the associated time. As explicit examples, we discuss supersymmetric D-branes on IIA nearly Kaehler AdS4 flux compactifications.