D-terms on the resolved conifold

Abstract

We derive a novel deformation of the warped resolved conifold background with supersymmetry breaking ISD (1,2) fluxes by adding D7-branes to this type IIB theory. We find spontaneous supersymmetry breaking without generating a bulk cosmological constant. In the compactified form, our background will no longer be a Calabi-Yau manifold as it allows a non-vanishing first Chern class. In the presence of D7-branes the (1,2) fluxes can give rise to non-trivial D-terms. We study the Ouyang embedding of D7-branes in detail and find that in this case the D-terms are indeed non-zero. In the limit when we approach the singular conifold, the D-terms vanish for Ouyang's embedding, although supersymmetry appears to be broken.We also construct the F-theory lift of our background and demonstrate how these IIB (1,2) fluxes lift to non-primitive (2,2) flux on the fourfold. The seven branes correspond to normalisable harmonic forms. We briefly sketch a possible way to attain an inflaton potential in this background once extra D3-branes are introduced and point out some possibilities of restoring supersymmetry in our background that could in principle be used as the end point of the inflationary set-up. In a companion paper we will analyse in details the inflationary dynamics in this background.

Study of structure formation and reheating in the D3/D7 brane inflation model

“…For more detailed analysis of this, see the recent paper [60]). The Hodge star ⋆ is on the internal space and (2) gives rise to non zero supersymmetry breaking potential because of its IASD property.…”

Gravity dual of metastable dynamical supersymmetry breaking

“…We choose as our two independent equations the Einstein equation with indices on the compact space (15) as well as the relation (16); it is easy to check they imply the other two equations (13) and (14). Equation (15) is a linear second-order equation for δB only, and has the obvious power-law solutions…”

Update of D3/D7-brane inflation on

“…23 The place where an incomplete analysis would have led to the analogue of the "rho-problem", can be easily identified. Our analysis follows closely the general discussion of [49,2,4], which we adapt to the case at hand, but at some points we can be a bit more concrete, as the torus metric is explicitly known (see also the discussion in section 4.1 of [22]).…”

“…This model has been introduced in [7] and further studied in [16]- [23]. One of the reasons to study the D3/D7-model on K3 × T 2 /Z 2 is its high computability.…”