Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Abstract

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.

Extended MQCD and SUSY/non-SUSY duality

“…(2.2) 5 As usual, we notice that tree-level field theory results match with classical brane pictures at the lowest order in ℓ s under g s → 0, i.e. brane bending and string interaction are not taken into account.…”

“…1 Applications and generalizations of these flux vacua are also discussed in a recent paper [5]. 2 As noted in [1], the degree of B 0 (v) polynomial is restricted to at most n − 1 for triviality of the operator Tr Φ k W ′ (Φ)W α W α in N = 1 gauge theory chiral ring.…”

Developments of theory of effective prepotential from extended Seiberg–Witten system and matrix models

“…The list of papers which discuss subjects closely related to that of this subsection include [97,100,[124][125][126][127][128][129][130][131][132][133].…”

“…For the computation of higher orders as well as the inclusion of matter, see, for instance, [128,[131][132][133].…”

U(1) mediation of flux supersymmetry breaking

“…On the local non-compact Calabi-Yau geometries of M 6 one cannot move d 6 onto Ω in (3.28). Therefore, the noncompact case allows to model the non-complex geometries by changing the boundary conditions for the non-compact cycles (see the recent discussion in [37,38]).…”