RR flux on Calabi–Yau and partial supersymmetry breaking

149

244

We consider N = 1 compactifications to four dimensions of heterotic string theory in the presence of fluxes. We show that up to order O (α ′2 ) the associated action can be written as a sum of squares of BPS-like quantities. In this way we prove that the equations of motion are solved by backgrounds which fulfill the supersymmetry conditions and the Bianchi identities. We also argue for the expression of the related superpotential and discuss the radial modulus stabilization for a class of examples.

“…As expected, the F -term of the potential can be derived from a superpotential which is given by [7,8,9,16, 32]…”

Section: The Superpotential and The Torsional Constraintsmentioning

confidence: 74%

Section: The Superpotential and The Torsional Constraintsmentioning

confidence: 99%

BPS action and superpotential for heterotic string compactifications with fluxes

Cardoso¹,

Curio²,

Dall’Agata³

et al. 2003

149

244

“…In other words, it is flux which has support at infinity. While this flux is not directly piercing the compact cycles we show that, once appropriately regularized, it does introduce an effective superpotential for the complex structure moduli, which is generalization of the usual Gukov-Vafa-Witten superpotential [27,28,29] to 3-form flux with noncompact support. This is a way to introduce a general superpotential in a geometrically engineered N = 2 gauge theory.…”

Section: Introductionmentioning

confidence: 88%

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Hollands¹,

Marsano²,

Papadodimas³

et al. 2008

We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in a metastable, supersymmetry-breaking configuration. Moreover, we argue that this setup can arise naturally as a limit of a larger Calabi-Yau which separates into two weakly interacting regions; the flux in one region leaks into the other, where it appears to be supported at infinity and induces the desired superpotential. In our endeavor to confirm this picture in cases with many 3-cycles, we also compute the CIV-DV prepotential for arbitrary number of cuts up to fifth order in the glueball fields.

“…3 3 An exception is split SUSY [44] where the soft masses are well above the TeV scale. However, a different hierarchy (between the soft masses and the gaugino masses) needs to be generated to preserve gauge unification.…”

Section: Introductionmentioning

confidence: 99%

Chiral D-brane Models with Frozen Open String Moduli

Blumenhagen

Cvetič

Marchesano

et al. 2005

131

287

Most intersecting D-brane vacua in the literature contain additional massless adjoint fields in their low energy spectrum. The existence of these additional fields make it difficult to obtain negative beta functions and, eventually, asymptotic freedom. We address this important issue for N = 1 intersecting D-brane models, rephrasing the problems in terms of (open string) moduli stabilization. In particular, we consider a Z 2 × Z 2 orientifold construction where D6-branes wrap rigid 3-cycles and such extra adjoint fields do not arise. We derive the model building rules and consistency conditions for intersecting branes in this background, and provide N = 1 chiral vacua free of adjoint fields. More precisely, we construct a Pati-Salam-like model whose SU (4) gauge group is asymptotically free. We also comment on the application of these results for obtaining gaugino condensation in chiral D-brane models. Finally, we embed our constructions in the framework of flux compactification, and construct new classes of N = 1 and N = 0 chiral flux vacua. † Permanent address