Conformal Field Theory Couplings for Intersecting D-branes on Orientifolds

By M. Cvetič, Ioannis Papadimitriou. 2003

201 citations recorded by the source corpus.

We present a conformal field theory calculation of four-point and three-point correlation functions for the bosonic twist fields arising at the intersections of D-branes wrapping (supersymmetric) homology cycles of Type II orientifold compactifications. Both the quantum contribution from local excitations at the intersections and the world-sheet disk instanton corrections are computed. As a consequence we obtain the complete expression for the Yukawa couplings of chiral fermions with the Higgs fields. The four-point correlation functions in turn lead to the determination of the four-point couplings in the effective theory, and may be of phenomenological interest.

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Citations in the corpus

Getting just the supersymmetric standard model at intersecting branes on the Z(6) orientifold (2004, background): “proton decay [44] or the running of the gauge couplings [45,46] and a possible gauge unification [47], the generation of masses [48–50] and the precise realization of the Higgs mechanism(s) [51], leading towards the goal of making contact with experimental reality [52].”
Computing Yukawa couplings from magnetized extra dimensions (2004, unknown): “We do not, however, recover the square root of [28], but rather a 1/4 power instead.”
TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, methodology): “Employing the so-called stress-energy method [123], which allows one to determine the correlation functions of bosonic twist fields by employing the properties of the operator product expansion of the conformal field theory stress-energy tensor with the twist fields, along with the above operator pr”
Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, methodology): “Something similar happens with the Yukawa couplings, which have been computed and can be neatly written in terms of products of Jacobi θ-functions in this model [50,54].”
Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, background): “Since on a single brane there are no fields transforming in the anti-symmetric representation of U(1)E2 and the Ω projection changes sign for the E2-branes relative to the D6branes, the condition for the absence of extra uncharged zero modes reads [Ξ′ ∩ Ξ]± = −[ΠO6 ∩ Ξ]± = 0 (25) for single instanto”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “In this subsection we shall review Yukawa couplings of chiral matter in type II orientifolds [375, 376, 377, 378, 379, 380].”
Scattering of gauge, matter, and moduli fields from intersecting branes (2004, background): “The latter involves both the holomorphic and anti–holomorphic side and the open string result may be obtained by essentially “taking the square root”.”
One in a Billion: MSSM-like D-Brane Statistics (2005, background): “However, these properties really depend on the finer details of the models (see for instance [52–55]) and an honest statistical treatment of them is much harder to carry out.”