Topological mirrors and quantum rings

Nov, 1991
21 pages
Part of Mirror symmetry I, 97-120
Published in:
  • AMS/IP Stud.Adv.Math. 9 (1998) 97-120
e-Print:
Report number:
  • HUTP-91-A059

Citations per year

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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.
  • talk: Berkeley 1991/03
  • boson: string model
  • supersymmetry
  • vacuum state
  • operator: algebra
  • algebra: cohomology
  • space-time: duality
  • loop space
  • sigma model: topological
  • Landau-Ginzburg model: topological
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