Topic
Mirror symmetry
About: Mirror symmetry is a research topic. Over the lifetime, 2422 publications have been published within this topic receiving 90786 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the integrals over the 3-chains on the compact Calabi-Yau 3-folds were studied in the context of the open mirror symmetry analysis.
Abstract: We develop some computational methods for the integrals over the 3-chains on the compact Calabi-Yau 3-folds that plays a prominent role in the analysis of the topological B-model in the context of the open mirror symmetry. We discuss such 3-chain integrals in two approaches. In the first approach, we provide a systematic algorithm to obtain the inhomogeneous Picard-Fuchs equations. In the second approach, we discuss the analytic continuation of the period integral to compute the 3-chain integral directly. The latter direct integration method is applicable for both on-shell and off-shell formalisms.
17 citations
12 Dec 2008
TL;DR: This paper describes a simple and efficient means for statistical detection of global and local mirror symmetry by extracting significant symmetry planes with a 3D Hough transform built from the planes parameters.
Abstract: This paper describes a simple and efficient means for statistical detection of global and local mirror symmetry. The symmetry planes are selected from all the planes obtained after matching and pairing features extracted on 3D meshes. The original part of the proposed method is the way to extract significant symmetry planes with a 3D Hough transform built from the planes parameters. This method generates faster results compared to existing statistical methods for symmetry detection.
17 citations
TL;DR: In this article, the unbound O12 nucleus was studied via the two-neutron transfer (p,t) reaction in inverse kinematics using a radioactive O14 beam at 51 MeV/u.
Abstract: The unbound O12 nucleus was studied via the two-neutron transfer (p,t) reaction in inverse kinematics using a radioactive O14 beam at 51 MeV/u. Excitation energy spectra and differential cross sections were deduced by the missing mass method using MUST2 telescopes. We achieved much higher statistics compared to the previous experiments of O12, which allowed accurate determination of resonance energy and unambiguous spin and parity assignment. The O12 resonance previously reported using the same reaction was confirmed at an excitation energy of 1.62±0.03(stat.)±0.10(syst.). MeV and assigned spin and parity of 0+ from a distorted-wave Born approximation analysis of the differential cross sections. Mirror symmetry of O12 with respect to its neutron-rich partner Be12 is discussed from the energy difference of the second 0+ states. In addition, from systematics of known 0+ states, a distinct correlation is revealed between the mirror energy difference and the binding energy after carrying out a scaling with the mass and the charge. We show that the mirror energy difference of the observed 0+ state of O12 is highly deviated from the systematic trend of deeply bound nuclei and in line with the scaling relation found for weakly bound nuclei with a substantial 2s1/2 component. The importance of the scaling of mirror asymmetry is discussed in the context of ab initio calculations near the drip lines and universality of few-body quantum systems.
17 citations
TL;DR: The first application of the open mirror symmetry to the compact non-complete intersections in toric variety is presented in this article, where the number of disk invariants of some examples is predicted by using the direct integration method proposed recently.
Abstract: We investigate the open mirror symmetry of certain non-complete intersection Calabi-Yau 3-folds, called pfaffian Calabi-Yau. We predict the number of disk invariants of some examples by using the direct integration method proposed recently and the open mirror symmetry. We treat several pfaffian Calabi-Yau 3-folds and branes with two discrete vacua. Some models have two special points in its moduli space, around both of which we can consider different A-model mirror partners. We compute disc invariants for both cases. This study is the first application of the open mirror symmetry to the compact non-complete intersections in toric variety.
17 citations
TL;DR: In this article, the integrals over the 3-chains on the compact Calabi-Yau 3-folds were studied in the context of the open mirror symmetry analysis of the topological B-model.
Abstract: We develop some computational methods for the integrals over the 3-chains on the compact Calabi–Yau 3-folds that play a prominent role in the analysis of the topological B-model in the context of the open mirror symmetry. We discuss such 3-chain integrals in two approaches. In the first approach, we provide an algorithm to obtain the inhomogeneous Picard–Fuchs equations. In the second approach, we discuss the analytic continuation of the period integral to compute the 3-chain integral directly. The latter direct integration method is applicable for both on-shell and off-shell formalisms.
17 citations