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We study two aspects of the physics of heterotic Line Bundle Standard Models on smooth Calabi-Yau threefolds. First, we investigate to what degree modern moduli stabilization scenarios can affect the standard model spectrum in such…

High Energy Physics - Theory · Physics 2020-01-08 James Gray , Juntao Wang

We report on a search for $N=2$ heterotic strings that are dual candidates of type II compactifications on Calabi-Yau threefolds described as $K3$ fibrations. We find many new heterotic duals by using standard orbifold techniques. The…

High Energy Physics - Theory · Physics 2014-11-18 G. Aldazabal , L. E. Ibanez , A. Font , F. Quevedo

When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we…

High Energy Physics - Theory · Physics 2010-10-27 Tohru Eguchi , Yuji Sugawara , Anne Taormina

We describe deformations of the noncompact Calabi-Yau threefolds $W_k = \mbox{Tot}(\mathcal{O}_{\mathbb{P}^1}(-k) \oplus \mathcal{O}_{\mathbb{P}^1}(k-2))$ for $k=1,2,3$, as well as their moduli of holomorphic vector bundles of rank $2$.…

Algebraic Geometry · Mathematics 2019-09-05 Elizabeth Gasparim , Thomas Köppe , Francisco Rubilar , Bruno Suzuki

We study the rigid limit of a class of hypermultiplet moduli spaces appearing in Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the Calabi-Yau. We show that the resulting hyperkahler manifold is…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Sibasish Banerjee , Pietro Longhi

We present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional $\mathcal{N}=2$ supersymmetry. The…

High Energy Physics - Theory · Physics 2020-01-08 Yoan Gautier , Chris M. Hull , Dan Israël

Using embedding of complex curves in the complex projective plane $\bf{P }^{2}$, we develop a \emph{non planar} topological 3-vertex formalism for topological strings on the family of local Calabi-Yau threefolds $X^{(m,-m,0)…

High Energy Physics - Theory · Physics 2008-05-08 Lalla Btissam Drissi , Houda Jehjouh , El Hassan Saidi

We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on…

High Energy Physics - Theory · Physics 2010-11-19 David R. Morrison , Cumrun Vafa

We consider F-theory compactifications on a mirror pair of elliptic Calabi-Yau threefolds. This yields two different six-dimensional theories, each of them being nonperturbatively equivalent to some compactification of heterotic strings on…

High Energy Physics - Theory · Physics 2009-10-30 Eugene Perevalov , Govindan Rajesh

We consider four dimensional heterotic compactifications on smooth elliptic Calabi-Yau threefolds. Using spectral cover techniques, we study bundle cohomology groups corresponding to charged matter multiplets. The analysis shows that in…

High Energy Physics - Theory · Physics 2010-02-03 Duiliu-Emanuel Diaconescu , Gheorghe Ionesei

Calabi--Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi--Yau space determines the…

High Energy Physics - Theory · Physics 2024-07-22 Per Berglund , Giorgi Butbaia , Tristan Hübsch , Vishnu Jejjala , Damián Mayorga Peña , Challenger Mishra , Justin Tan

We present the most complete list of mirror pairs of Calabi-Yau complete intersections in toric ambient varieties and develop the methods to solve the topological string and to calculate higher genus amplitudes on these compact Calabi-Yau…

High Energy Physics - Theory · Physics 2009-11-10 A. Klemm , M. Kreuzer , E. Riegler , E. Scheidegger

In a previous publication, arXiv:1106.4804, we have found 200 models from heterotic Calabi-Yau compactifications with line bundles, which lead to standard models after taking appropriate quotients by a discrete symmetry and introducing…

High Energy Physics - Theory · Physics 2015-06-04 Lara B. Anderson , James Gray , Andre Lukas , Eran Palti

Compactifications with fluxes and branes motivate us to study various enumerative invariants of Calabi-Yau manifolds. In this paper, we study non-perturbative corrections depending on both open and closed string moduli for a class of…

High Energy Physics - Theory · Physics 2016-04-20 Yoshinori Honma , Masahide Manabe

We modify a recently proposed heterotic model hep-th/0703210, giving three net-generations of standard model fermions, to get rid of an additional U(1) factor in the gauge group. The method employs a stable SU(5) bundle on a Calabi-Yau…

High Energy Physics - Theory · Physics 2008-11-26 Bjorn Andreas , Gottfried Curio

The number of BPS bound states of D-branes on a Calabi-Yau manifold depends on two sets of data, the BPS charges and the stability conditions. For D0 and D2-branes bound to a single D6-brane wrapping a Calabi-Yau 3-fold X, both are…

High Energy Physics - Theory · Physics 2011-10-03 Hirosi Ooguri , Piotr Sułkowski , Masahito Yamazaki

We consider type IIA string theory on a Calabi-Yau 2-fold with D6-branes wrapping 2-cycles in the 2-fold. We find a complete set of conditions on the supergravity solution for any given wrapped brane configuration in terms of SU(2)…

High Energy Physics - Theory · Physics 2008-11-26 Ansar Fayyazuddin

We study the space of geometric and open string moduli of type IIB compactifications from the perspective of complex structure deformations of F-theory. In order to find a correspondence, we work in the weak coupling limit and for…

High Energy Physics - Theory · Physics 2010-05-25 Andreas P. Braun , Sebastian Gerigk , Arthur Hebecker , Hagen Triendl

We study the relation between a heterotic T^6/Z6 orbifold model and a compactification on a smooth Voisin-Borcea Calabi-Yau three-fold with non-trivial line bundles. This orbifold can be seen as a Z2 quotient of T^4/Z3 x T^2. We consider a…

High Energy Physics - Theory · Physics 2015-06-11 Wilfried Buchmuller , Jan Louis , Jonas Schmidt , Roberto Valandro

We study heterotic Calabi-Yau models with hypercharge flux breaking, where the visible E8 gauge group is directly broken to the standard model group by a non-flat gauge bundle, rather than by a two-step process involving an intermediate…

High Energy Physics - Theory · Physics 2015-06-23 Lara B. Anderson , Andrei Constantin , Seung-Joo Lee , Andre Lukas
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