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In this paper we compute the N=1 effective low energy action for a stack of N space-time filling D3-branes in generic type IIB Calabi-Yau orientifolds with non-trivial background fluxes by reducing the Dirac-Born-Infeld and Chern-Simons…

High Energy Physics - Theory · Physics 2008-11-26 Mariana Grana , Thomas W. Grimm , Hans Jockers , Jan Louis

In previous work, we have commenced the task of unpacking the $473,800,776$ reflexive polyhedra by Kreuzer and Skarke into a database of Calabi-Yau threefolds (see http://www.rossealtman.com). In this paper, following a pedagogical…

High Energy Physics - Theory · Physics 2018-02-14 Ross Altman , Yang-Hui He , Vishnu Jejjala , Brent D. Nelson

In this paper we initiate a broad study of some central properties of the string axiverse arising from Calabi-Yau compactifications of the perturbative heterotic $E_8\times E_8$ theory. Along this road toward a heterotic axiverse, we…

High Energy Physics - Theory · Physics 2025-09-05 Jacob M. Leedom , Margherita Putti , Alexander Westphal

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 landscape of axion theories in compactifications of type IIB string theory on orientifolds of Calabi-Yau threefolds. In a sample of approximately 400,000 geometries we find that in the regime of perturbative control there are…

High Energy Physics - Theory · Physics 2023-09-06 Naomi Gendler , Oliver Janssen , Matthew Kleban , Joan La Madrid , Viraf M. Mehta

We construct ribbon surfaces of Euler characteristic one for several infinite families of alternating 3-braid closures. We also use a twisted Alexander polynomial obstruction to conclude the classification of smoothly slice knots which are…

Geometric Topology · Mathematics 2023-06-22 Vitalijs Brejevs

Compactifications of heterotic string theory on Generalized Calabi-Yau manifolds have been expected to give the same type of flexibility that type IIB compactifications on Calabi-Yau orientifolds have. In this note we generalize the work…

High Energy Physics - Theory · Physics 2010-02-19 S. P. de Alwis

In this paper, we investigate automorphisms of compact K\"ahler manifolds with different levels of topological triviality. In particular, we provide several examples of smooth complex projective surfaces X whose groups of…

Algebraic Geometry · Mathematics 2021-04-16 Fabrizio Catanese , Wenfei Liu

Using $\delta$-invariants and Newton--Okounkov bodies, we derive the optimal volume upper bound for K\"ahler manifolds with positive Ricci curvature, from which we get a new characterization of the complex projective space.

Differential Geometry · Mathematics 2020-09-30 Kewei Zhang

The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Giryavets , Shamit Kachru , Prasanta K. Tripathy , Sandip P. Trivedi

We discuss the generation of superpotentials in four-dimensional, N = 1 supersymmetric field theories arising from type IIA D6-branes wrapped on supersymmetric three-cycles of a Calabi-Yau threefold. In general, nontrivial superpotentials…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru , Sheldon Katz , Albion Lawrence , John McGreevy

We describe a simple and robust mechanism that stabilizes all Kahler moduli in Type IIB orientifold compactifications. This is shown to be possible with just one non-perturbative contribution to the superpotential coming from either a…

High Energy Physics - Theory · Physics 2011-01-27 Konstantin Bobkov , Volker Braun , Piyush Kumar , Stuart Raby

A construction of Calabi-Yaus as quotients of products of lower-dimensional spaces in the context of weighted hypersurfaces is discussed, including desingularisation. The construction leads to Calabi-Yaus which have a fiber structure, in…

Algebraic Geometry · Mathematics 2023-09-12 Bruce Hunt , Rolf Schimmrigk

We obtain a detailed classification for a class of non-simply connected Calabi-Yau threefolds which are of potential interest for a wide range of problems in string phenomenology. These threefolds arise as quotients of Schoen's Calabi-Yau…

Algebraic Geometry · Mathematics 2008-04-14 Vincent Bouchard , Ron Donagi

We study the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory. We show that negative Euler number and…

High Energy Physics - Theory · Physics 2009-12-07 Michele Cicoli , Joseph P. Conlon , Fernando Quevedo

We combine moduli stabilisation and (chiral) model building in a fully consistent global set-up in Type IIB/F-theory. We consider compactifications on Calabi-Yau orientifolds which admit an explicit description in terms of toric geometry.…

High Energy Physics - Theory · Physics 2015-05-30 Michele Cicoli , Christoph Mayrhofer , Roberto Valandro

We study the long-time behavior of the Kahler-Ricci flow on compact Kahler manifolds. We give an almost complete classification of the singularity type of the flow at infinity, depending only on the underlying complex structure. If the…

Differential Geometry · Mathematics 2017-01-03 Valentino Tosatti , Yuguang Zhang

As a refinement of the Swampland Distance Conjecture, we propose that a quantum gravitational theory in an infinite distance limit of its moduli space either decompactifies, or reduces to an asymptotically tensionless, weakly coupled string…

High Energy Physics - Theory · Physics 2022-02-24 Seung-Joo Lee , Wolfgang Lerche , Timo Weigand

An explicit description of the spectral data of stable U(n) vector bundles on elliptically fibered Calabi-Yau threefolds is given, extending previous work of Friedman, Morgan and Witten. The characteristic classes are computed and it is…

High Energy Physics - Theory · Physics 2014-11-18 Bjorn Andreas , Daniel Hernandez Ruiperez

We investigate the complex and K\"ahler attractor mechanisms of moduli spaces of Calabi-Yau 3-folds. The complex attractor mechanism was previously studied by Ferrara-Kallosh-Strominger, Moore and others in string theory. It is concerned…

Algebraic Geometry · Mathematics 2021-08-17 Yu-Wei Fan , Atsushi Kanazawa
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