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Topological Mirrors and Quantum Rings
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TLDR
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.read more
Citations
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References
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Journal ArticleDOI
Fusion rings and geometry
TL;DR: The algebraic structure of fusion rings in rational conformal field theories is analyzed in detail in this paper, where a formalism which closely parallels classical tools in the study of homogeneous spaces is developed for fusion rings, in general, and for current algebra theories.