scholarly journals Del Pezzo Singularities and SUSY Breaking

2011 ◽  
Vol 2011 ◽  
pp. 1-30 ◽  
Author(s):  
Dmitry Malyshev
Keyword(s):  
Complete Intersection ◽  
Susy Breaking ◽  
Analytic Construction ◽  
Del Pezzo ◽  
Calabi Yau Manifolds

An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found. We present complete intersection CY manifolds for all del Pezzo singularities and study the complex deformations of these singularities. An example of the quintic CY manifold with del Pezzo 6 singularity and some number of conifold singularities is studied in detail. The possibilities for the ‘‘geometric’’ and ISS mechanisms of dynamical SUSY breaking are discussed. As an example, we construct the ISS vacuum for the del Pezzo 6 singularity.

scholarly journals Heterotic line bundle models on generalized complete intersection Calabi Yau manifolds

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Magdalena Larfors ◽  
Davide Passaro ◽  
Robin Schneider
Keyword(s):  
Line Bundle ◽  
Complete Intersection ◽  
Particle Physics ◽  
Model Building ◽  
Wilson Line ◽  
Symmetry Groups ◽  
The Standard Model ◽  
Order Of Magnitude ◽  
Systematic Program ◽  
Calabi Yau Manifolds

Abstract The systematic program of heterotic line bundle model building has resulted in a wealth of standard-like models (SLM) for particle physics. In this paper, we continue this work in the setting of generalised Complete Intersection Calabi Yau (gCICY) manifolds. Using the gCICYs constructed in ref. [1], we identify two geometries that, when combined with line bundle sums, are directly suitable for heterotic GUT models. We then show that these gCICYs admit freely acting ℤ2 symmetry groups, and are thus amenable to Wilson line breaking of the GUT gauge group to that of the standard model. We proceed to a systematic scan over line bundle sums over these geometries, that result in 99 and 33 SLMs, respectively. For the first class of models, our results may be compared to line bundle models on homotopically equivalent Complete Intersection Calabi Yau manifolds. This shows that the number of realistic configurations is of the same order of magnitude.

scholarly journals An Extension of BCOV Invariant

2020 ◽  
Author(s):  
Yeping Zhang
Keyword(s):  
Kähler Manifold ◽  
Pezzo Surface ◽  
Del Pezzo Surface ◽  
Kahler Manifold ◽  
Del Pezzo ◽  
Compact Kähler Manifold ◽  
Calabi Yau Manifolds

Abstract Bershadsky, Cecotti, Ooguri, and Vafa constructed a real-valued invariant for Calabi–Yau manifolds, which is called the BCOV invariant. In this paper, we consider a pair $(X,Y)$, where $X$ is a compact Kähler manifold and $Y\in \big |K_X^m\big |$ with $m\in{\mathbb{Z}}\backslash \{0,-1\}$. We extend the BCOV invariant to such pairs. If $m=-2$ and $X$ is a rigid del Pezzo surface, the extended BCOV invariant is equivalent to Yoshikawa’s equivariant BCOV invariant. If $m=1$, the extended BCOV invariant is well behaved under blowup. It was conjectured that birational Calabi–Yau three-folds have the same BCOV invariant. As an application of our extended BCOV invariant, we show that this conjecture holds for Atiyah flops.

AN ATTEMPT AT A NEW CLASSIFICATION OF CICY MANIFOLDS

1994 ◽  
Vol 09 (38) ◽  
pp. 3585-3593 ◽  
Author(s):  
M. GAGNON ◽  
Q. HO-KIM
Keyword(s):  
Complete Intersection ◽  
New Classification ◽  
Calabi Yau Manifolds

Using a recently proposed list of 97,360 complete intersection Calabi-Yau manifolds, we attempt to select some promising three- and four-generation manifolds. We classify the configurations surviving the selection tests by breaking the associated diagrams into kernels and extensions and by regrouping configurations having the same kernels into families. The resulting classification for the surviving three- and four-generation manifolds is presented.

scholarly journals Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds

2017 ◽  
Vol 2017 (10) ◽  
Author(s):  
Evgeny Buchbinder ◽  
Andre Lukas ◽  
Burt Ovrut ◽  
Fabian Ruehle
Keyword(s):  
Complete Intersection ◽  
Calabi Yau Manifolds

Weakly exceptional singularities of log del Pezzo surfaces

2019 ◽  
Vol 30 (01) ◽  
pp. 1950010
Author(s):  
In-Kyun Kim ◽  
Joonyeong Won
Keyword(s):  
Complete Intersection ◽  
Projective Spaces ◽  
Pezzo Surface ◽  
Del Pezzo Surfaces ◽  
Del Pezzo Surface ◽  
Log Canonical ◽  
Del Pezzo ◽  
Log Del Pezzo Surfaces

We complete the computation of global log canonical thresholds, or equivalently alpha invariants, of quasi-smooth well-formed complete intersection log del Pezzo surfaces of amplitude 1 in weighted projective spaces. As an application, we prove that they are weakly exceptional. And we investigate the super-rigid affine Fano 3-folds containing a log del Pezzo surface as boundary.

scholarly journals Discrete Symmetries of Complete Intersection Calabi–Yau Manifolds

2020 ◽  
Vol 379 (3) ◽  
pp. 847-865
Author(s):  
Andre Lukas ◽  
Challenger Mishra
Keyword(s):  
String Theory ◽  
Complete Intersection ◽  
Discrete Symmetries ◽  
Model Building ◽  
Low Energy ◽  
Discrete Groups ◽  
Dimensional Model ◽  
Group Order ◽  
String Compactifications ◽  
Calabi Yau Manifolds

Abstract In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi–Yau manifolds and their quotients by freely-acting symmetries. These non-freely acting symmetries can appear as symmetries of low-energy theories resulting from string compactifications on these Calabi–Yau manifolds, particularly in the context of the heterotic string. Hence, our results are relevant for four-dimensional model building with discrete symmetries and they give an indication which symmetries of this kind can be expected from string theory. For the 1695 known quotients of complete intersection manifolds by freely-acting discrete symmetries, non-freely-acting, generic symmetries arise in 381 cases and are, therefore, a relatively common feature of these manifolds. We find that 9 different discrete groups appear, ranging in group order from 2 to 18, and that both regular symmetries and R-symmetries are possible.

Log Canonical Thresholds of Complete Intersection Log Del Pezzo Surfaces

2015 ◽  
Vol 58 (2) ◽  
pp. 445-483 ◽  
Author(s):  
In-Kyun Kim ◽  
Jihun Park
Keyword(s):  
Complete Intersection ◽  
Einstein Metrics ◽  
Projective Spaces ◽  
Del Pezzo Surfaces ◽  
Log Canonical ◽  
Del Pezzo ◽  
Kähler Einstein Metrics ◽  
Log Del Pezzo Surfaces

AbstractWe compute the global log canonical thresholds of quasi-smooth well-formed complete intersection log del Pezzo surfaces of amplitude 1 in weighted projective spaces. As a corollary we show the existence of orbifold Kähler—Einstein metrics on many of them.

HODGE NUMBER DISTRIBUTION FOR CICY MANIFOLDS

1998 ◽  
Vol 13 (12) ◽  
pp. 1917-1940
Author(s):  
M. GAGNON
Keyword(s):  
Complete Intersection ◽  
Periodic Pattern ◽  
Spectral Sequences ◽  
Two Dimensional ◽  
Hodge Number ◽  
Number Distribution ◽  
Hodge Numbers ◽  
Dimensional Crystal ◽  
Calabi Yau Manifolds

The method of exact and spectral sequences is applied to compute the Hodge numbers of all known complete intersection Calabi–Yau manifolds. When plotted on a two-dimensional chart, the distribution of their values reveals an interesting periodic pattern. Next, we introduce a seven-dimensional crystal-like structure which seems to be relevant to study the systematics of the Hodge number distribution.

Sign in / Sign up

Export Citation Format

Share Document