[PDF] Top 20 New large volume Calabi-Yau threefolds

... candidate Calabi-Yau compactifications in hand, model builders are confronted with the challenge of isolating the set of constructions which might potentially replicate physics in the real ...prevailing ... See full document

... to Calabi–Yau manifolds of the type (1) as “Strong ...the Calabi–Yau volume, which gets exponentially large, addresses phenomenologically important hierarchy ...the large ... See full document

... on Calabi–Yau spaces are a very exciting though difficult to understand topic in string ...the Calabi–Yau moduli ...the large volume limit this is provided by the coherent ...in ... See full document

... Indeed, with the advances of computing power and software in computational algebraic geometry, a novel perspective on heterotic compactification has been proposed in ref. [13]. In ref. [14], so-called monad bundles are ... See full document

... We are grateful to Lara Anderson, Per Berglund, Volker Braun, Stefan Groot Nibbelink, Ben- jamin Jurke, Seung-Joo Lee, Andr´ e Lukas, Herbie Smith, Xin Gao, and Chuang Sun for many helpful discussions during the ... See full document

... Next, we observe that there are many different ways to compactify six flat di- mensions. To illustrate this point, let us consider two dimensions where, among others, we can choose the sphere, the torus and orbifolds ... See full document

... compact Calabi-Yau ...on large datasets of the Calabi-Yau threefolds ...intersection threefolds in products of projective spaces, or CICYs, a famous set of 7890 ... See full document

... are large [43], identifying elliptically fibered threefolds [28,29,42,44], finding further fibrations such as K3-fibers [33,45], or a step-by-step construction of all possible smooth ... See full document

... iii. Although many geometrically important searches will have a finite solution (compare [Johnson and Koll ar 01, Theorem 4.1] for quasismooth hypersurfaces), the search routine outlined above does not have a stopping ... See full document

... toric Calabi–Yau threefolds that are candidate geometries for superstring compactification has not been accomplished ...other large datasets of Calabi-Yau manifolds including the ... See full document

... of new silting objects or d-cluster-tilting objects from old ...was Calabi-Yau so is the new one, and there is a bijection between cluster-tilting objects in the subfactor and cluster-tilting ... See full document

... Through some recent exciting work in string theory it has become clear that nonpertur- bative aspects of string theory are within reach, at least for certain string compactifications. In particular a clear picture is ... See full document

... computing Calabi-Yau metrics on complete intersections and free quotients of complete ...Schoen Calabi-Yau complete inter- sections and the quotient of a Schoen manifold with the Z3 × Z3 ... See full document

... Abstract. We consider the problem of constructing Ricci-flat metrics on the total space of the canonical bundle over the del Pezzo surface of rank one. We analyze the so-called ‘orthotoric metric’ and its first-order ... See full document

... There have been various classifications of semistable elliptic K3 surfaces (cf. Refs. [40 – 42], especially Props. 3.1 – 3.7 of Ref. [41] for allowed Frame shapes) and our above example of ½1 8 ; 2 8 is present in these ... See full document

... In this paper, we are concerned with the structure of additively fi- nite triangulated categories, that is, triangulated categories with finitely many isomorpism classes of indecomposable objects. It is known that every ... See full document

... Our choice of complete intersection Calabi-Yau manifolds is motivated largely by the explicit and relatively simple nature of the constructions. Perhaps the most valuable advantage of the presence of the ... See full document

... Before dividing the manifold by a discrete symmetry and including Wilson lines these bundles lead to SU (5) GUT models with the net number of 10 and ¯ 5 families equal to 3 times a possible symmetry order. Since we are ... See full document

... on Calabi-Yau spaces; I will try to inspire the physicist with the astounding mathematical structures and to hearten the mathematicians with the insightful physical computations, but I shall always ... See full document

... intersection Calabi-Yau (CICY) manifolds (or rather quotients thereof by a freely acting discrete symmetry group) as these provide a well understood class of potentially realistic particle physics models ... See full document