Resolutions of Bbb Cn/Bbb Znorbifolds, their U(1) bundles, and applications to string model building

Abstract:We clarify the relation between six-dimensional Abelian orbifold compactifications of the heterotic string and smooth heterotic K3 compactifications with line bundles for both SO(32) and E 8 × E 8 gauge groups. The T 4 /Z N cases for N = 2, 3, 4 are treated exhaustively, and for N = 6 some examples are given. While all T 4 /Z 2 and nearly all T 4 /Z 3 models have a simple smooth match involving one line bundle only, this is only true for some T 4 /Z 4 and T 4 /Z 6 cases. We comment on possible matchings with more than one line bundle for the remaining cases. The matching is provided by comparisons of the massless spectra and their anomalies as well as a field theoretic analysis of the blow-ups.

show abstract

“…A standard embedding of the Z2 model with SU(2) bundle will be presented in [25]. In that paper also an alternative blow-up of model 2a with…”

Section: Jhep01(2007)051mentioning

confidence: 99%

Merging heterotic orbifolds and K3 compactifications with line bundles

Honecker¹,

Trapletti²

2007

J. High Energy Phys.

Self Cite

129

View full text Add to dashboard Cite

show abstract

“…As we will see in section 7, bulk and brane field backgrounds are typically induced by local Fayet-Iliopoulos (FI) terms. The non-vanishing VEVs of localized fields are often related to a resolution of the orbifold singularities [31,32]. However, a study of the blow-up of the considered orbifold to a smooth manifold and the geometrical interpretation of the localized VEVs is beyond the scope of this work.…”

Section: Decoupling Of Exotic Statesmentioning

confidence: 99%

Local SU(5) unification from the heterotic string

Buchmüller

Lüdeling

Schmidt

2007

J. High Energy Phys.

View full text Add to dashboard Cite

We construct a 6D supergravity theory which emerges as intermediate step in the compactification of the heterotic string to the supersymmetric standard model in four dimensions. The theory has N = 2 supersymmetry and a gravitational sector with one tensor and two hypermultiplets in addition to the supergravity multiplet. Compactification to four dimensions occurs on a T 2 /Z 2 orbifold which has two inequivalent pairs of fixed points with unbroken SU(5) and SU(2) × SU(4) symmetry, respectively. All gauge, gravitational and mixed anomalies are cancelled by the Green-Schwarz mechanism. The model has partial 6D gauge-Higgs unification. Two quark-lepton generations are localized at the SU(5) branes, the third family is composed of split bulk hypermultiplets. The top Yukawa coupling is given by the 6D gauge coupling, all other Yukawa couplings are generated by higher-dimensional operators at the SU(5) branes. The presence of the SU(2)×SU(4) brane breaks SU(5) and generates split gauge and Higgs multiplets with N = 1 supersymmetry in four dimensions. The third generation is obtained from two split5-plets and two split 10-plets, which together have the quantum numbers of one5-plet and one 10-plet. This avoids unsuccessful SU(5) predictions for Yukawa couplings of ordinary 4D SU(5) grand unified theories.

show abstract

“…[1,55]). For the E 8 ×E 8 and SO(16)×SO(16) theories these bundle vectors can be conveniently decomposed into two pieces V = (V i , V i ) corresponding to the ten-dimensional gauge group factors.…”

Section: Line Bundle Vectorsmentioning

confidence: 99%

(MS)SM‐like models on smooth Calabi‐Yau manifolds from all three heterotic string theories

Nibbelink

Loukas

Ruehle

2015

Fortschritte der Physik

View full text Add to dashboard Cite

We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E 8 ×E 8 and SO(32) as well as for the non-supersymmetric SO(16)×SO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both favorable CICYs with relatively small h 11 and the Schoen manifold. Using Gram matrices we systematically analyze the combined consequences of the Bianchi identities and the tree-level Donaldson-Uhlenbeck-Yau equations inside the Kähler cone. In order to evaluate the model building potential of the three heterotic theories on the various geometries, we perform computer-aided scans. We have generated a large number of GUT-like models (up to over a few hundred thousand on the various geometries for the three heterotic theories) which become (MS)SM-like upon using a freely acting Wilson line. For all three heterotic theories we present tables and figures summarizing the potentially phenomenologically interesting models which were obtained during our model scans.

show abstract

Resolutions of Bbb Cⁿ/Bbb Z_norbifolds, their U(1) bundles, and applications to string model building

Cited by 66 publications

References 58 publications

Merging heterotic orbifolds and K3 compactifications with line bundles

Merging heterotic orbifolds and K3 compactifications with line bundles

Local SU(5) unification from the heterotic string

(MS)SM‐like models on smooth Calabi‐Yau manifolds from all three heterotic string theories

Contact Info

Product

Resources

About