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Mirror symmetry

About: Mirror symmetry is a research topic. Over the lifetime, 2422 publications have been published within this topic receiving 90786 citations.


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Journal ArticleDOI
TL;DR: In this paper, instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space, whose left-moving fermions couple to a deformation of the tangent bundle, are computed.
Abstract: We compute instanton corrections to correlators in the genus-zero topological subsector of a (0, 2) supersymmetric gauged linear sigma model with target space $ {\mathbb{P}^1} \times {\mathbb{P}^1} $ , whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce the theory’s chiral ring from these correlators, which reduces in the limit of zero deformation to the (2, 2) ring. Finally, we compare our results with the computations carried out by Adams et al. [1] and Katz and Sharpe [17]. We find immediate agreement with the latter and an interesting puzzle in completely matching the chiral ring of the former.

41 citations

Journal ArticleDOI
TL;DR: In this article, the authors studied an analog for higher-dimensional Calabi-Yau manifolds of the standard predictions of Mirror Symmetry and introduced invariants of variations of semi-infinite generalized Hodge structures living over the moduli space.
Abstract: We study an analog for higher-dimensional Calabi–Yau manifolds of the standard predictions of Mirror Symmetry. We introduce periods associated with “non-commutative” deformations of Calabi–Yau manifolds. These periods define a map on the moduli space of such deformations which is a local isomorphism. Using these non-commutative periods we introduce invariants of variations of semi-infinite generalized Hodge structures living over the moduli space ℳ. It is shown that the generating function of such invariants satisfies the system of WDVV-equations exactly as in the case of Gromov–Witten invariants. We prove that the total collection of rational Gromov–Witten invariants of complete intersection Calabi–Yau manifold can be identified with the collection of invariants of variations of generalized (semi-infinite) Hodge structures attached to the mirror variety. The basic technical tool utilized is the deformation theory.

41 citations

Journal ArticleDOI
TL;DR: In this article, a mirror skin effect was observed for an electric circuit composed of negative impedance converters with current inversion, where switching the boundary condition significantly changes the admittance eigenvalues only along the mirror invariant lines.
Abstract: We analyze impacts of crystalline symmetry on the non-Hermitian skin effects. Focusing on mirror symmetry, we propose a novel type of skin effects, a mirror skin effect, which results in significant dependence of energy spectrum on the boundary condition only for the mirror invariant line in the two-dimensional Brillouin zone. This effect arises from the topological properties characterized by a mirror winding number. We further reveal that the mirror skin effect can be observed for an electric circuit composed of negative impedance converters with current inversion where switching the boundary condition significantly changes the admittance eigenvalues only along the mirror invariant lines. Furthermore, we demonstrate that extensive localization of the eigenstates for each mirror sector result in an anomalous voltage response.

41 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the algebrao-geometric structure inherent in 2-dimensional conformally invariant quantum field theories with N=2 supersymmetry, and its relation to the Calabi-Yau manifolds which appear in the so-called large radius limit.

40 citations

Posted Content
TL;DR: In this paper, the authors considered the variant of mirror symmetry conjecture for K3 surfaces which relates the geometry of curves of a general member of a family of K3 with algebraic functions on the moduli of the mirror family.
Abstract: We consider the variant of Mirror Symmetry Conjecture for K3 surfaces which relates "geometry" of curves of a general member of a family of K3 with "algebraic functions" on the moduli of the mirror family Lorentzian Kac--Moody algebras are involved in this construction We give several examples when this conjecture is valid

40 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202351
2022116
2021138
2020130
2019139
2018125