Mirror symmetry for G2-manifolds: twisted connected sums and dual tops
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2017)080
Abstract: A bstractRecently, at least 50 million of novel examples of compact G2 holonomy manifolds have been constructed as twisted connected sums of asymptotically cylindrical Calabi-Yau threefolds. The purpose of this paper is to study mirror… read more here.
Keywords: manifolds twisted; twisted connected; mirror symmetry; symmetry manifolds ... See more keywords
Mirror Symmetry for Perverse Schobers from Birational Geometry
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03916-9
Abstract: Perverse schobers are categorical analogs of perverse sheaves. Examples arise from varieties admitting flops, determined by diagrams of derived categories of coherent sheaves associated to the flop: in this paper we construct mirror partners to… read more here.
Keywords: perverse schobers; mirror; geometry; mirror symmetry ... See more keywords
Mirror symmetry and Fukaya categories of singular hypersurfaces
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108116
Abstract: We consider a definition of the Fukaya category of a singular hypersurface proposed by Auroux, given by localizing the Fukaya category of a nearby fiber at Seidel's natural transformation, and show that this possesses several… read more here.
Keywords: category; fukaya categories; fukaya; symmetry fukaya ... See more keywords
Topological mirror symmetry for parabolic Higgs bundles
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.08.020
Abstract: Abstract We prove the topological mirror symmetry conjecture of Hausel–Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic… read more here.
Keywords: mirror symmetry; higgs bundles; parabolic higgs; topological mirror ... See more keywords
Supramolecular meso-Trick: Ambidextrous Mirror Symmetry Breaking in a Liquid Crystalline Network with Tetragonal Symmetry.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of the American Chemical Society"
DOI: 10.1021/jacs.2c01511
Abstract: Bicontinuous and multicontinuous network phases are among nature's most complex structures in soft matter systems. Here, a chiral bicontinuous tetragonal phase is reported as a new stable liquid crystalline intermediate phase at the transition between… read more here.
Keywords: network; symmetry breaking; phase; symmetry ... See more keywords
Symmetry perception with spiking neural networks
Sign Up to like & getrecommendations! Published in 2021 at "Scientific Reports"
DOI: 10.1038/s41598-021-85232-3
Abstract: Mirror symmetry is an abundant feature in both nature and technology. Its successful detection is critical for perception procedures based on visual stimuli and requires organizational processes. Neuromorphic computing, utilizing brain-mimicked networks, could be a… read more here.
Keywords: image; neural networks; perception; spiking neural ... See more keywords
Mirror symmetry breaking in liquids and liquid crystals
Sign Up to like & getrecommendations! Published in 2018 at "Liquid Crystals"
DOI: 10.1080/02678292.2018.1501822
Abstract: ABSTRACT In the recent two decades liquid crystal science has contributed significantly to the understanding of mirror symmetry breaking and spontaneous emergence of chirality in fluids. This account tries to summarise the current state of… read more here.
Keywords: chirality; liquid crystals; symmetry breaking; symmetry ... See more keywords
The Mirror's Magic Sights: An Update on Mirror Symmetry
Sign Up to like & getrecommendations! Published in 2019 at "Notices of the American Mathematical Society"
DOI: 10.1090/noti1854
Abstract: DOI: https://doi.org/10.1090/noti/1854 In a 1989 paper [13], Lerche, Vafa, and Warner studied the algebraic structure of 2-dimensional N = 2 supersymmetric conformal field theories (SCFT). I will not define a 2dimensional N = 2 SCFT,… read more here.
Keywords: mirror magic; update mirror; mirror symmetry; magic sights ... See more keywords
Non-Kähler Mirror Symmetry of the Iwasawa Manifold
Sign Up to like & getrecommendations! Published in 2018 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rny256
Abstract: We propose a new approach to the mirror symmetry conjecture in a form suitable to possibly non-Kähler compact complex manifolds whose canonical bundle is trivial. We apply our methods by proving that the Iwasawa manifold… read more here.
Keywords: mirror; iwasawa manifold; mirror symmetry; non hler ... See more keywords
Nodal plane and persistent spin texture in a Weyl semimetal without mirror symmetry
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.125207
Abstract: By utilizing symmetry analysis and electronic structure calculations, we investigated the low-temperature orthorhombic phase of Ag2Se in SG 17. In addition to the discovery of a nodal plane at k(z) = pi protected by the… read more here.
Keywords: plane; mirror symmetry; nodal plane; spin ... See more keywords
Berry curvature in monolayer MoS 2 with broken mirror symmetry
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.97.235423
Abstract: An ideal $1H$ phase monolayer ${\mathrm{MoS}}_{2}$ has mirror reflection symmetry, but this symmetry is broken in common experimental situations, where the monolayer is placed on a substrate. By using $\mathrm{k}\ifmmode\cdot\else\textperiodcentered\fi{}\mathrm{p}$ perturbation theory, we investigate the… read more here.
Keywords: berry curvature; symmetry; mirror symmetry; monolayer ... See more keywords