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Mathematical Aspects of Mirror Symmetry
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A-model and B-model correlation functions on a Calabi-Yau manifold and a precise mathematical conjecture relating these for a pair of mirror manifolds are given in this article.Abstract:
Lecture notes from 1993 Park City lectures and 1994 Trento lectures. The focus of these lectures is on giving a mathematical description of the A-model and B-model correlation functions on a Calabi--Yau manifold, and a precise mathematical conjecture relating these for a pair of mirror manifolds.read more
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References
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Representation Theory of Finite Groups and Associative Algebras
Charles W. Curtis,Irving Reiner +1 more
TL;DR: In this paper, the authors present a group theory representation and modular representation for algebraic number theory, including Semi-Semi-Simple Rings and Group Algebras, including Frobenius Algebraic numbers.
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Anomaly cancellations in supersymmetric D=10 gauge theory and superstring theory
TL;DR: In this article, a superstring theory for E 8 × 8 × E 8 has been constructed, based on SO(32) and the remaining pieces of all the anomalies cancel if the gauge group is SO (32) or E 8×E 8.
Journal ArticleDOI
A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
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.
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Mirror symmetry is T duality
TL;DR: In this paper, it was argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles and that the moduli space of such cycles together with their flat connections is precisely the space Y.