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We consider a probe in a BPS black hole in type II strings compactified on Calabi-Yau manifolds, and conjecture that its moduli space metric is the balanced metric.

High Energy Physics - Theory · Physics 2008-11-04 Michael R. Douglas , Semyon Klevtsov

Generalizing the work of Sen, we analyze special points in the moduli space of the compactification of the F-theory on elliptically fibered Calabi-Yau threefolds where the coupling remains constant. These contain points where they can be…

High Energy Physics - Theory · Physics 2016-09-06 Changhyun Ahn , Soonkeon Nam

We discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type…

High Energy Physics - Theory · Physics 2014-11-18 Sebastien Gurrieri , Jan Louis , Andrei Micu , Daniel Waldram

The Kahler potential is the least understood part of effective N=1 supersymmetric theories derived from string compactifications. Even at tree-level, the Kahler potential for the physical matter fields, as a function of the moduli fields,…

High Energy Physics - Theory · Physics 2010-02-03 Joseph P. Conlon , Daniel Cremades , Fernando Quevedo

The tadpole conjecture suggests that the complete stabilization of complex structure deformations in Type IIB and F-theory flux compactifications is severely obstructed by the tadpole bound on the fluxes. More precisely, it states that the…

High Energy Physics - Theory · Physics 2022-09-07 Mariana Graña , Thomas W. Grimm , Damian van de Heisteeg , Alvaro Herraez , Erik Plauschinn

We study moduli stabilization for type IIB orientifold compactifications on Calabi-Yau three-folds with (non-)geometric fluxes. For this setting it is possible to stabilize all closed-string moduli classically without the need for…

High Energy Physics - Theory · Physics 2021-04-07 Erik Plauschinn

We study a duality that relates the T^6/Z_2 orientifold with N=2 flux to standard fluxless Calabi-Yau compactifications of type IIA string theory. Using the duality map, we show that the Calabi-Yau manifolds that arise are abelian surface…

High Energy Physics - Theory · Physics 2009-11-10 Michael B. Schulz

We revisit the two-stage procedure for moduli stabilization in Type IIB orientifolds at light K\"ahler-modulus limit. In view of the necessity to keep the K\"ahler geometry structure of the moduli space during the stabilization, we define a…

High Energy Physics - Theory · Physics 2007-05-23 Huan-Xiong Yang

We show that the conifold and deformed-conifold warped compactifications of the ten-dimensional type IIB supergravity, including the Klebanov-Strassler solution, are dynamically unstable in the moduli sector representing the scale of a…

High Energy Physics - Theory · Physics 2009-11-11 Hideo Kodama , Kunihito Uzawa

We prove that the deformation theory of compactifiable asymptotically cylindrical Calabi-Yau manifolds is unobstructed. This relies on a detailed study of the Dolbeault-Hodge theory and its description in terms of the cohomology of the…

Differential Geometry · Mathematics 2014-09-25 Ronan J. Conlon , Rafe Mazzeo , Frédéric Rochon

We develop a perturbative expansion scheme for solving general boundary value problems in a broad class of type IIB flux compactifications. The background solution is any conformally Calabi-Yau compactification with imaginary self-dual…

High Energy Physics - Theory · Physics 2015-05-28 Sohang Gandhi , Liam McAllister , Stefan Sjors

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

We show boundedness of polarized Calabi--Yau fibrations over curves only with fixed volumes of general fibers and Iitaka volumes. As its application, we construct a separated coarse moduli space of K-stable Calabi-Yau fibrations over curves…

Algebraic Geometry · Mathematics 2025-06-11 Kenta Hashizume , Masafumi Hattori

We discuss the first step in the moduli stabilization program a la KKLT for a general class of resolved toroidal type IIB orientifolds. In particular, we discuss their geometry, the topology of the divisors relevant for the D3-brane…

High Energy Physics - Theory · Physics 2009-11-11 Susanne Reffert , Emanuel Scheidegger

We review some recent results on the modularity of non-rigid Calabi-Yau threefolds.

Algebraic Geometry · Mathematics 2008-03-04 Edward Lee

Scherk-Schwarz compactification in string theory can be defined as orbifolding by an R symmetry, a symmetry that acts differently on bosons and fermions. Such a symmetry can arise in many situations, including toroidal and orbifold…

High Energy Physics - Theory · Physics 2008-11-26 Michael Dine , Alexander Morisse , Assaf Shomer , Zheng Sun

The structure of stringy quantum corrections to four-dimensional effective theories is particularly interesting for string phenomenology and attempts to stabilize moduli. We consider the heterotic string compactified on a Calabi-Yau space.…

High Energy Physics - Theory · Physics 2014-12-19 Lilia Anguelova , Callum Quigley , Savdeep Sethi

We study moduli spaces of nonlinear sigma-models on Calabi-Yau manifolds, using the one-loop semiclassical approximation. The data being parameterized includes a choice of complex structure on the manifold, as well as some ``extra…

alg-geom · Mathematics 2008-02-03 David R. Morrison

Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Sergei V. Ketov , Yuki Wakimoto

We analyse type IIA Calabi-Yau orientifolds with backgroud fluxes, taking into account the effect of perturbative $\alpha'$-corrections. In particular, we consider the $\alpha'$-corrections that modify the metrics in the K\"ahler sector of…

High Energy Physics - Theory · Physics 2022-10-12 Dagoberto Escobar , Fernando Marchesano , Wieland Staessens