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The moduli space of multiply-connected Calabi-Yau threefolds is shown to contain codimension-one loci on which the corresponding variety develops a certain type of hyperquotient singularity. These have local descriptions as discrete…

High Energy Physics - Theory · Physics 2011-06-28 Rhys Davies

The string coupling of N=2 supersymmetric compactifications of type II string theory on a Calabi-Yau manifold belongs to the so-called universal dilaton hypermultiplet, that has four real scalars living on a quaternion-Kaehler manifold.…

High Energy Physics - Theory · Physics 2015-05-18 Nicola Ambrosetti , Ignatios Antoniadis , Jean-Pierre Derendinger , Panteleimon Tziveloglou

We give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi-Yau manifolds can be written in terms of meromorphic Jacobi forms whose weight grows linearly and whose index grows…

High Energy Physics - Theory · Physics 2015-01-26 Min-xin Huang , Sheldon Katz , Albrecht Klemm

After a brief introduction into the use of Calabi--Yau varieties in string dualities, and the role of toric geometry in that context, we review the classification of toric Calabi-Yau hypersurfaces and present some results on complete…

High Energy Physics - Theory · Physics 2011-07-19 Maximilian Kreuzer

The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where…

High Energy Physics - Theory · Physics 2010-11-01 S. Chaudhuri , H. Itoyama , T. Ooshita

We show that the exact N=1 superpotential of a class of 4d string compactifications is computed by the closed topological string compactified to two dimensions. A relation to the open topological string is used to define a special geometry…

High Energy Physics - Theory · Physics 2010-11-19 P. Mayr

Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative…

High Energy Physics - Theory · Physics 2021-09-15 Michele Cicoli , Fernando Quevedo , Raffaele Savelli , Andreas Schachner , Roberto Valandro

Perturbative breaking of supersymmetry in four-dimensional string theories predict in general the existence of new large dimensions at the TeV scale. Such dimensions can be consistent with perturbative unification up to the Planck scale in…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , K. Benakli

We consider scaling of the entanglement entropy across a topological quantum phase transition in one dimension. The change of the topology manifests itself in a sub-leading term, which scales as $L^{-1/\alpha}$ with the size of the…

Statistical Mechanics · Physics 2017-02-08 Yuting Wang , Tobias Gulden , Alex Kamenev

At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , C. N. Pope , K. S. Stelle

We consider the general case of a type IIA string compactified on a Calabi-Yau manifold which has a heterotic dual description. It is shown that the nonabelian gauge symmetries which can appear nonperturbatively in the type II string but…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

We propose, based on the viewpoint that our three-dimensional space is a stack of BPS D3-branes located at the conifold singularity of the Calabi-Yau three-fold, a new mechanism to address the cosmological constant problem in the framework…

High Energy Physics - Theory · Physics 2015-06-12 Eun Kyung Park , Pyung Seong Kwon

We describe a new class of instanton effects in string compactifications that preserve only N=1 supersymmetry in four dimensions. As is well-known, worldsheet or brane instantons in such a background can sometimes contribute to an effective…

High Energy Physics - Theory · Physics 2010-04-07 Chris Beasley , Edward Witten

The motivation for Calabi-Yau-like compactifications of the weakly coupled $E_8\otimes E_8$ heterotic string theory, its particle spectrum and the issue of dilaton stabilization are briefly reviewed. Modular invariant models for hidden…

High Energy Physics - Phenomenology · Physics 2009-11-11 Mary K. Gaillard

We study limits of four-dimensional type II Calabi-Yau compactifications with vanishing four-cycle singularities, which are dual to $\IT^2$ compactifications of the six-dimensional non-critical string with $E_8$ symmetry. We define proper…

High Energy Physics - Theory · Physics 2016-09-06 W. Lerche , P. Mayr , N. P. Warner

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

Genus one amplitude for topological strings on Calabi-Yau 3-folds can be computed using mirror symmetry: The partition function at genus one gets mapped to a holomorphic version of Ray-Singer torsion on the mirror Calabi-Yau. On the other…

High Energy Physics - Theory · Physics 2024-03-12 Cumrun Vafa

In this paper we discuss the singularities in the Yukawa and gauge couplings of N=1 compactifications of the SO(32) heterotic string in four space-time dimensions. Such singularities can arise from the strong coupling dynamics of a confined…

High Energy Physics - Theory · Physics 2014-11-18 Matthias Klein , Jan Louis

In this work we study interesting corners of the quantum gravity landscape with 8 supercharges pushing the boundaries of our current understanding. Calabi-Yau threefolds compactifications of F/M/type II theories to 6, 5 and 4 dimensions are…

High Energy Physics - Theory · Physics 2023-09-29 Zihni Kaan Baykara , Yuta Hamada , Houri-Christina Tarazi , Cumrun Vafa

We compute the corrections to heterotic-string backgrounds with (2,0) world-sheet supersymmetry, up to two loops in sigma-model perturbation theory. We investigate the conditions for these backgrounds to preserve spacetime supersymmetry and…

High Energy Physics - Theory · Physics 2009-11-10 J. Gillard , G. Papadopoulos , D. Tsimpis