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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 study the geometry of the scalar manifolds emerging in the no-scale sector of Kahler moduli and matter fields in generic Calabi-Yau string compactifications, and describe its implications on scalar masses. We consider both heterotic and…

High Energy Physics - Theory · Physics 2014-01-29 Daniel Farquet , Claudio A. Scrucca

Topological string theory near the conifold point of a Calabi-Yau threefold gives rise to factorially divergent power series which encode the all-genus enumerative information. These series lead to infinite towers of singularities in their…

High Energy Physics - Theory · Physics 2022-03-09 Jie Gu , Marcos Marino

The string landscape satisfies interesting finiteness properties imposed by supersymmetry and string-theoretical consistency conditions. We study N=1 supersymmetric compactifications of Type IIB string theory on smooth elliptically fibered…

High Energy Physics - Theory · Physics 2015-06-19 Mirjam Cvetič , James Halverson , Denis Klevers , Peng Song

We study the possibility of realizing an effective sequestering between visible and hidden sectors in generic heterotic string models, generalizing previous work on orbifold constructions to smooth Calabi-Yau compactifications. In these…

High Energy Physics - Theory · Physics 2011-07-13 Christopher Andrey , Claudio A. Scrucca

We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states,…

High Energy Physics - Theory · Physics 2009-09-17 M. Bershadsky , S. Cecotti , H. Ooguri , C. Vafa

Geometric transitions between Calabi-Yau manifolds have proven to be a powerful tool in exploring the intricate and interconnected vacuum structure of string compactifications. However, their role in N=1, 4-dimensional string…

High Energy Physics - Theory · Physics 2022-11-14 Lara B. Anderson , Callum R. Brodie , James Gray

We discuss the hierarchy of Yukawa couplings in a supersymmetric three family Standard-like string Model. The model is constructed by compactifying Type IIA string theory on a Z_2 x Z_2 orientifold in which the Standard Model matter fields…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Paul Langacker , Gary Shiu

We study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heterotic string and F-theory in 6 dimensions. The…

High Energy Physics - Theory · Physics 2009-10-30 David R. Morrison , Cumrun Vafa

We show that the full non-perturbative topological string free energy, in the holomorphic limit, follows simply from a target space integrating out calculation of M2 states. Qualitatively, this is the same as the calculation performed by…

High Energy Physics - Theory · Physics 2024-11-19 Jarod Hattab , Eran Palti

We give a proof of the existence of $G=SU(5)$, stable holomorphic vector bundles on elliptically fibered Calabi--Yau threefolds with fundamental group $\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomaly that can be…

High Energy Physics - Theory · Physics 2010-02-03 Ron Donagi , Burt Ovrut , Tony Pantev , Dan Waldram

String phenomenology is the branch of string theory concerned with making contact with particle physics. The original models involved compactifying ten-dimensional supersymmetric Yang-Mills theory on an internal Calabi-Yau three-fold. In…

Algebraic Geometry · Mathematics 2012-01-13 Martijn Wijnholt

Yau proved an existence theorem for Ricci-flat K\"ahler metrics in the 1970's, but we still have no closed form expressions for them. Nevertheless there are several ways to get approximate expressions, both numerical and analytical. We…

High Energy Physics - Theory · Physics 2015-12-09 Michael R. Douglas

We show that type I string theory compactified in four dimensions in the presence of constant internal magnetic fields possesses N=1 supersymmetric vacua, in which all Kahler class and complex structure closed string moduli are fixed.…

High Energy Physics - Theory · Physics 2010-04-05 I. Antoniadis , T. Maillard

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

High Energy Physics - Theory · Physics 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

We propose an analytic method to calculate the matter field K\"ahler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields. The matter field K\"ahler metric determines the normalisations…

High Energy Physics - Theory · Physics 2018-05-23 Stefan Blesneag , Evgeny I. Buchbinder , Andrei Constantin , Andre Lukas , Eran Palti

We discuss chiral supersymmetric compactifications of the SO(32) heterotic string on Calabi-Yau manifolds equipped with direct sums of stable bundles with structure group U(n). In addition we allow for non-perturbative heterotic…

High Energy Physics - Theory · Physics 2010-02-03 Ralph Blumenhagen , Gabriele Honecker , Timo Weigand

In this work, we provide evidence for a duality between 4-dimensional Calabi-Yau compactifications of the heterotic string, in which the base manifolds are linked by a conifold transition. In recent work, a geometric proposal was put…

High Energy Physics - Theory · Physics 2025-12-23 Lara B. Anderson , James Gray , Sunit A. Patil , Caoimhín Scanlon

Using constraints from supersymmetry and string perturbation theory, we determine the string loop corrections to the hypermultiplet moduli space of type II strings compactified on a generic Calabi-Yau threefold. The corresponding…

High Energy Physics - Theory · Physics 2009-11-11 Daniel Robles-Llana , Frank Saueressig , Stefan Vandoren

We study the action of mirror symmetry on two-dimensional N=(2,2) effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The…

High Energy Physics - Theory · Physics 2021-12-21 Sebastian Greiner , Thomas W. Grimm
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