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- Mirror symmetry relates the topological string amplitudes of the A-model on X, and the B-model on Y. In particular, it relates disk amplitudes of the special lagrangian A-brane on X and its mirror B-brane on Y. In the B-model on the mirror, the classical geometry is exact, and the disk amplitude can be read off from it.
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In the context of topological string theory, mirror symmetry states that two theories called the A-model and B-model are equivalent in the sense that there is a duality relating them.
A topological eld theory can be constructed whose observables are only the elements of the chiral ring. When coupled to gravity, this leads to topological string theory. The identi cation of the topological string A- and B-models by mirror symmetry leads to surprising connections in mathematics and provides tools
Dec 1, 2022 · Under the compactification by the Calabi-Yau threefold, the string theory shows there is duality called mirror symmetry, which implies there is an isomorphism between two string theories under the compactifications of two topologically different internal manifolds.
Mirror symmetry relates the topological string amplitudes of the A-model on X, and the B-model on Y. In particular, it relates disk amplitudes of the special lagrangian A-brane on X and its mirror B-brane on Y.
Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics.
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Overview of mirror symmetry Lecture 1, August 29, 2019 The course is topics in algebraic geometry. We will be doing some sort of mirror sym-metry. We will start with some historical overview. 1. Enumerative mirror symmetry Let X be a CY manifold. In particular we will focus on CY 3-folds. This means KX = detT X ≃OX is trivial as a holomorphic ...
This review summarizes the recent developments in topological string theory from the author's perspective, mostly focused on aspects of research in which the author is involved. After a brief overview of the theory, we discuss two aspects of these developments.
