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Twisted light carries orbital angular momentum (OAM) and can drive excitations of confined, interacting electrons that are dark to uniform dipolar probes. Here we show how this ``beyond-Kohn's-Theorem'' optical channel can become a concrete…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Ferney J. Rodriguez , Luis Quiroga , Neil F. Johnson

Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

We construct a class of stable SU(5) bundles on an elliptically fibered Calabi-Yau threefold with two sections, a variant of the ordinary Weierstrass fibration, which admits a free involution. The bundles are invariant under the involution,…

High Energy Physics - Theory · Physics 2015-06-03 Bjorn Andreas , Norbert Hoffmann

In this paper we construct explicit smooth solutions to the Strominger system on generalized Calabi-Gray manifolds, which are compact non-K\"ahler Calabi-Yau 3-folds with infinitely many distinct topological types and sets of Hodge numbers.

Differential Geometry · Mathematics 2021-01-12 Teng Fei , Zhijie Huang , Sebastien Picard

We prove that compact Calabi--Yau varieties with certain isolated singularities are projective. In dimension 3 we do this by analysis, supposing given conifold metrics. In higher dimensions it follows more readily from Ohsawa's degenerate…

Algebraic Geometry · Mathematics 2025-10-17 Yohsuke Imagi

We develop some consequences of the connection between Calabi-Yau structures and torsion-free $G_2$ structures on compact and asymptotically cylindrical six- and seven-dimensional manifolds. Firstly, we improve the known proof that matching…

Differential Geometry · Mathematics 2019-08-23 Tim Talbot

The interplay of spin-orbit interactions and Coulomb correlations has become a hot topic in condensed matter theory. Here, we review recent advances in dynamical mean-field theory-based electronic structure calculations for iridates and…

Strongly Correlated Electrons · Physics 2017-06-28 Cyril Martins , Markus Aichhorn , Silke Biermann

Optical lattice systems provide exceptional platforms for quantum simulation of many-body systems. We focus on the doubly modulated Bose-Hubbard model driven by both time-dependent on-site energy and interaction, and predict the emergence…

Quantum Gases · Physics 2019-11-20 Hongzheng Zhao , Johannes Knolle , Florian Mintert

We consider generalized complete intersection manifolds in the product space of projective spaces, and work out useful aspects pertaining to the cohomology of sheaves over them. First, we present and prove a vanishing theorem on the…

High Energy Physics - Theory · Physics 2020-05-11 Qiuye Jia , Hai Lin

In order to support the odd moduli in models of (type IIB) string compactification, we classify the Calabi-Yau threefolds with h^{1,1}<=4 which exhibit pairs of identical divisors, with different line-bundle charges, mapping to each other…

High Energy Physics - Theory · Physics 2013-11-27 Xin Gao , Pramod Shukla

Degeneracy loci of morphisms between vector bundles have been used in a wide variety of situations. We introduce a vast generalization of this notion, based on orbit closures of algebraic groups in their linear representations. A preferred…

Algebraic Geometry · Mathematics 2021-03-30 Vladimiro Benedetti , Sara Angela Filippini , Laurent Manivel , Fabio Tanturri

We study the mod $2$ cohomology of real Calabi-Yau threefolds given by real structures which preserve the torus fibrations constructed by Gross. We extend the results of Casta\~no-Bernard-Matessi and Arguz-Prince to the case of real…

Algebraic Geometry · Mathematics 2024-02-21 Diego Matessi

This proceedings note introduces aspects of the authors' work relating mirror symmetry and integral variations of Hodge structure. The emphasis is on their classification of the integral variations of Hodge structure which can underly…

Algebraic Geometry · Mathematics 2007-05-23 Charles F. Doran , John W. Morgan

Strongly Rydberg-blockaded two-level atoms form a Rydberg superatom, which is excited only to a collective symmetrical Dicke state. However, emerging often in the alkali-earth atoms, the spontaneous decay from the Rydberg state to an…

Quantum Physics · Physics 2021-12-21 Chang Qiao , Wenxian Zhang

We present a detailed numerical study of multi-component colloidal gels interacting sterically and obtained by arrested phase separation. Under deformation, we found that the interplay between the different intertwined networks is key.…

Soft Condensed Matter · Physics 2020-06-11 Claudia Ferreiro-Cordova , Mehdi Bouzid , Emanuela Del Gado , Giuseppe Foffi

We consider a toric degeneration of Calabi--Yau complete intersections of Batyrev--Borisov in the Gross--Siebert program. One can associate two types of tropical spaces with it. One is a tropical variety obtained by tropicalization. The…

Algebraic Geometry · Mathematics 2024-04-09 Yuto Yamamoto

The F-theory vacuum constructed from an elliptic Calabi-Yau threefold with section yields an effective six-dimensional theory. The Lie algebra of the gauge sector of this theory and its representation on the space of massless…

High Energy Physics - Theory · Physics 2007-05-23 Paul S. Aspinwall , Sheldon Katz , David R. Morrison

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

Motivated by the Strominger-Yau-Zaslow conjecture, we study fibre spaces whose total space has trivial canonical bundle. Especially, we are interest in Calabi-Yau varieties with fibre structure. In this paper, we only consider semi-stable…

Algebraic Geometry · Mathematics 2012-01-19 Yi Zhang , Kang Zuo

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to…

High Energy Physics - Theory · Physics 2016-09-16 Sibasish Banerjee