The effective action of D7-branes in N=1 Calabi-Yau orientifolds

By H. Jockers, J. Louis. 2004

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Abstract 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/058b813173705da69062574ec565f7112cddba9a

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Citations in the corpus

The type IIB string axiverse and its low-energy phenomenology (2012, background): “Pseudo-scalar axion-like fields ca and cα arise as Kaluza-Klein zero modes of the Ramond-Ramond (RR) antisymmetric tensor fields C2 and C4 [28,29] (for a short review, see the appendices in [21,30]), that is as coefficients of the two- and four-form term, respectively, in their expansion in harmonic”
The statistics of supersymmetric D-brane models (2004, background): “Similarly to the Type IIB orientifolds discussed in [40], the homology group H3(M) splits into an Ωσ even and odd part, H3(M) = H + 3 (M)⊕H− 3 (M).”
Fixing all moduli in a simple f-theory compactification (2005, background): “These models also provide simple laboratories where the growing knowledge about flux-induced soft-breaking terms in D3–D7 systems [25, 58, 62 , 74, 75] can be combined with full moduli stabilization to study how the spectrum of soft masses is modified.”
F-term axion monodromy inflation (2014, background): “As a result the Wilson line kinetic term in the Einstein frame reads [50,51]”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “However the fact that the GUT gauge theory is localised on a submanifold of the full CY, and that the massless axions that can give the hypercharge a mass come from the closedstring sector and therefore are counted by the cohomology of the full CY, gives a way to avoid such a mass [154, 219, 220, 24”
Soft SUSY breaking terms for chiral matter in IIB string compactifications (2006, methodology): “��(�, ¯ �) and Z(�, ¯ �). However these are also the least understood part of the supergravity effective action, as being nonholomorphic they are not protected in the same way that the superpotential is. For D3 and D7 fields living in the adjoint of the gauge group the matter metrics have been compu”
Gaugino Condensates and D-terms from D7-branes (2006, unknown): “This situation was also investigated in [18,36].”
Lectures on F-theory compactifications and model building (2010, background): “In type IIB orientifolds on a Calabi–Yau 3-fold X, chiral multiplets in the adjoint representation of Ga correspond to D7-brane moduli [51].”
D-branes on general Script N = 1 backgrounds: superpotentials and D-terms (2006, methodology): “In the approximation in which the warp-factor, the non-trivial dilaton and F can be neglected, this metric reduces to the K¨ahler metric for the embedding moduli found in [ 33 ].”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “In the geometric domain at large radius some important information can be gained by dimensional reduction of the effective ten-dimensional actions [147, 153, 148].”
D-terms and F-terms from D7-brane fluxes (2005, background): “We consider all possible two-form fluxes of the internal gauge field including fluxes whose dual two-cycles are nontrivial on the four-cycle but trivial in the ambient Calabi-Yau orientifold.”