2004/09/30 by Hans Jockers, Jan Louis · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Calabi–Yau manifold #Cosmology and Gravitation Theories #Effective action #Geometry #Mathematical physics #Mathematics #Moduli #Noncommutative and Quantum Gravity Theories #Orientifold #Particle physics #Physics #Quantum mechanics #Scalar (mathematics) #Scalar potential #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2004.11.009
published as Nucl.Phys.B705:167-211,2005 · LaTeX, 47 pages; references added; minor corrections
arxiv created 2004/11/25 · openalex publication_date 2004/12/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using a Kaluza-Klein reduction of the Dirac-Born-Infeld and Chern-Simons action we compute the four dimensional N=1 effective action for the massless modes of a D7-brane which is wrapped on a four-cycle of a compact Calabi-Yau orientifold. We do not consider a specific orientifold but instead determine the Kahler potential, the gauge kinetic functions and the scalar potential in terms of geometrical data of a generic orientifold and its wrapped four-cycle. In particular we derive the couplings of the D-brane excitations to the bulk moduli of the orientifold as they are important for the study of soft supersymmetry breaking terms. We relate the resulting Kahler geometry to the N=1 special geometry of Lerche, Mayr and Warner. Finally we comment on the structure of the D-term which is induced by a Green-Schwarz term in the Chern-Simons action.