Dimers, orientifolds and stability of supersymmetry breaking vacua

Abstract

We study (orientifolded) toric Calabi-Yau singularities in search for D-brane configurations which lead to dynamical supersymmetry breaking at low energy. By exploiting dimer techniques we are able to determine that while most realizations lead to a Coulomb branch instability, a rather specific construction admits a fully stable supersymmetry breaking vacuum. We describe the geometric structure that a singularity should have in order to host such a construction, and present its simplest example, the Octagon.

Winding uplifts and the challenges of weak and strong SUSY breaking in AdS

“…In 4d supergravity language, such effects are classified as F -term or D-term uplifts (see e.g. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and [19][20][21][22][23][24][25] respectively). All known models share a certain degree of complexity, which has lead to fundamental criticism [26] and the proposal of corresponding no-go theorems [27][28][29].…”

Dimers in a bottle

“…only on the local features of the compactification [16][17][18]. More recently, warped throats have been used in trying to uplift to de Sitter vacua [19,20] and in the search for SUSY breaking vacua in quantum gravity [11,12,[21][22][23][24][25].…”

Inverse algorithm and triple point diagrams

“…There are N = 2 fractional branes whenever the CY3 singularity is not-isolated, or equivalently when the corresponding toric diagrams are convex, but not strictly convex. It was shown in [14] that all possible substructures in dimer models leading to the SU(5) model imply the existence of N = 2 fractional branes, but the one shown on the left of Figure 4. That led naturally to the question of whether it is possible at all to construct a dimer model corresponding to a strictly convex lattice polygon, symmetric with respect to two vertical axes in order to implement the orientifold one needs, and containing the hexagonal cluster of our interest, together with a few additional technical constraints carefully discussed in [14].…”

“…It was shown in [14] that all possible substructures in dimer models leading to the SU(5) model imply the existence of N = 2 fractional branes, but the one shown on the left of Figure 4. That led naturally to the question of whether it is possible at all to construct a dimer model corresponding to a strictly convex lattice polygon, symmetric with respect to two vertical axes in order to implement the orientifold one needs, and containing the hexagonal cluster of our interest, together with a few additional technical constraints carefully discussed in [14]. The hexagonal cluster can be inscribed in a disk; let us draw its ZZPs as in the middle of Figure 4 and keep only the 'in' and 'out' insertions on the boundary together with the pairing, as displayed on the right of Figure 4.…”