Gauge sector statistics of intersecting D‐brane models

Abstract

In this article, which is based on the first part of my PhD thesis, I review the statistics of the open string sector in T^6/(Z_2xZ_2) orientifold compactifications of the type IIA string. After an introduction to the orientifold setup, I discuss the two different techniques that have been developed to analyse the gauge sector statistics, using either a saddle point approximation or a direct computer based method. The two approaches are explained and compared by means of eight- and six-dimensional toy models. In the four-dimensional case the results are presented in detail. Special emphasis is put on models containing phenomenologically interesting gauge groups and chiral matter, in particular those containing a standard model or SU(5) part.Comment: 51 pages, 29 figures; v2: ref. added, version to appear in Fortsch. Phys; v3: ref. adde

Rigid D6-branes on $ {{{{T^6}}} \left/ {{\left( {{Z_2} \times {Z_{2M}} \times \Omega \mathcal{R}} \right)}} \right.} $ with discrete torsion

“…The bulk cycles are (up to normalisation) identical to the T 6 /Z 6 case of [70,71]. The two linearly independent cycles are…”

“…The twist sectors of T 6 /Z 2 × Z 2M are inherited from various underlying T 4 /Z N and T 6 /Z N cases as discussed in appendix D. This is on the one hand of interest in view of the fact that intersecting D6-branes on T 6 /Z 6 and T 6 /Z 6 have been discussed before in [70,71] and [68,69], respectively, and on the other hand when one considers the blow-up of orbifold singularities as discussed e.g. in [81].…”

“…The second case 2M = 6 has T 6 /Z 6 as a subsector, which has proven to be able to accommodate the SM gauge group and chiral spectrum [68,69], however, always with some adjoint matter. The last case 2M = 6 has T 6 /Z 6 as a subsector, for which also three generation models with some adjoint matter content are known [70,71].…”

Power of black hole physics: seeing through the vacuum landscape

“…Wrapping in addition D-branes around cycles of the underlying (Calabi-Yau) spaces in order to derive the Standard Model of particle physics increases this number even further. Therefore intersecting brane models and the likelihood to derive the Standard Model were also investigated in a statistical manner [16,17,18,19,20,21]. Here we want to discuss some constraints on the landscape of type II compactifications with p-form fluxes and also possible non-perturbative effects like gaugino condensation and Euclidean instantons, as it was proposed first in the KKLT scenario [11].…”

Statistics in the landscape of intersecting brane models

“…The other one uses ensembles of explicitly calculated models at specific points in the landscape to compute frequency distributions of their properties, which eventually can be extrapolated to a wider class of compactifications. This is the approach followed here; in particular, we will consider frequency distributions of properties of intersecting brane models [6,[13][14][15][16][17][18][19][20]. Other corners of the landscape that have been studied using a similar method include Gepner models [21][22][23][24], which we will use later to compare results on correlations, and orbifold compactifications of heterotic string theory [25][26][27].…”