Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
type: Item
instance of: scholarly article
title: Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
zbMATH Open document ID: 0814.53056
DOI: 10.1007/BF02100589
published in: Communications in Mathematical Physics
publication date: 1995-03-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9308122
review text: Mirror symmetry plays an important role in quantum theory, however, as is well known there are numerous outstanding problems in a proper mathematical formulation of theories actually used by physicists. In this work the authors formulate a model for the mirror symmetry in Calabi-Yau spaces in the framework of toric geometry. This is contrary to what one would have expected from previous constructions. The authors provide explicit mirror maps and Yukawa couplings in the large radius limit for a number of examples with two or three Kähler moduli. Some interesting topological invariants for cases considered have been evaluated and are appended to the paper.
reviewed by: Chandra Shekhar Sharma
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81T30
zbMATH DE Number: 727696
zbMATH Keywords: Mirror symmetry
zbMATH Keywords: Calabi-Yau spaces
zbMATH Keywords: Yukawa couplings
zbMATH Keywords: Kähler moduli
author: Shinobu Hosono
author: Albrecht Klemm
author: Stefan Theisen
author: Shing-Tung Yau
MaRDI profile type: Publication
arXiv ID: hep-th/9308122
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OpenAlex ID: W2060243544
description: scientific article