Showing papers on "Mirror symmetry published in 1991"
TL;DR: In this paper, the prepotentials and geometry of the moduli spaces for a Calabi-Yau manifold and its mirror were derived and all the sigma model corrections to the Yukawa couplings and moduli space metric were obtained.
1,679 citations
07 Nov 1991
TL;DR: In this article, the importance of loop spaces for a deeper understanding of the geometrical origin of duality in string theory is discussed, and mirror symmetry can be reformulated in very simple terms as the statement of equivalence of two classes of topological theories: topological sigma models and topological Landau-Ginzburg models.
Abstract: Aspects of duality and mirror symmetry in string theory are discussed. We emphasize, through examples, the importance of loop spaces for a deeper understanding of the geometrical origin of dualities in string theory. Moreover we show that mirror symmetry can be reformulated in very simple terms as the statement of equivalence of two classes of topological theories: Topological sigma models and topological Landau-Ginzburg models. Some suggestions are made for generalization of the notion of mirror symmetry.
97 citations
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 importance of loop spaces for a deeper understanding of the geometrical origin of duality in string theory is discussed, and mirror symmetry can be reformulated in very simple terms as the statement of equivalence of two classes of topological theories: topological sigma models and topological Landau-Ginzburg models.
Abstract: Aspects of duality and mirror symmetry in string theory are discussed. We emphasize, through examples, the importance of loop spaces for a deeper understanding of the geometrical origin of dualities in string theory. Moreover we show that mirror symmetry can be reformulated in very simple terms as the statement of equivalence of two classes of topological theories: Topological sigma models and topological Landau-Ginzburg models. Some suggestions are made for generalization of the notion of mirror symmetry.
40 citations
CERN1
TL;DR: In this paper, the authors review some aspects of the geometry of the moduli space of superstring vacua with (2, 2) superconformal symmetry, its connection with the deformation theory of holomorphic three forms and its relation to space-time supersymmetry.
Abstract: We review some aspects of the geometry of the moduli space of superstring vacua with (2, 2) superconformal symmetry, its connection with the deformation theory of holomorphic three forms and its relation to space-time supersymmetry.
14 citations
Posted Content•
TL;DR: A review of the discovery of mirror symmetry in $N = 2$ string/conformal field theory can be found in this article, where the authors describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of the mirror symmetry through direct construction.
Abstract: We first give a complete, albeit brief, review of the discovery of mirror symmetry in $N=2$ string/conformal field theory. In particular, we describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of mirror symmetry through direct construction. We then review a number of striking consequences of mirror symmetry -- both conceptual and calculational. Finally, we describe recent work which introduces a variant on our original proof of the existence of mirror symmetry. This work affirms classical--quantum symmetry duality as well as extends the domain of our initial mirror symmetry construction.
10 citations
04 Oct 1991
TL;DR: A review of the discovery of mirror symmetry in $N = 2$ string/conformal field theory can be found in this paper, where the authors describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of the mirror symmetry through direct construction.
Abstract: We first give a complete, albeit brief, review of the discovery of mirror symmetry in $N=2$ string/conformal field theory. In particular, we describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of mirror symmetry through direct construction. We then review a number of striking consequences of mirror symmetry -- both conceptual and calculational. Finally, we describe recent work which introduces a variant on our original proof of the existence of mirror symmetry. This work affirms classical--quantum symmetry duality as well as extends the domain of our initial mirror symmetry construction.
4 citations