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The term refers to a situation where two Calabi–Yau manifolds look very different geometrically but are nevertheless equivalent when employed as extra dimensions of string theory . Early cases of mirror symmetry were discovered by physicists.
Mar 1, 2020 · The area of research mathematics known as mirror symmetry does the reverse: it uses ideas from theoretical physics to create mathematical discoveries, linking apparently unconnected areas of pure mathematics. Maxim Kontsevich has won many recognitions, including the Fields Medal, for his research in mirror symmetry.
Mirror symmetry associates to the quintic a “mirror” Q, whose Hodge diamond is “flipped”: h1,1(Q)=h2,1(Q) = 101, and h2,1(Q)=h1,1(Q)=1. We will construct the family of Q by quotienting a one-parameter subfamily of the different Q’s by a discrete group and then taking care of singularities coming from fixed points.
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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 for exact computations as well as new insights in physics. A recursive construction of the higher
All known string theory models may be obtained as partial fermionization, projection and background Ans atze from the original, purely bosonic string theory. The latter theory in turn has been recently shown to describe a chirally and non-commutatively doubled and manifestly T-dual target spacetime. We show herein that this, so-called
1. Physical Origins. Mirror symmetry comes from statements in supersymmetric string theory. Ba sic idea of string theory: replace particles with vibrating strings, which propogate through space and form surfaces. We thus get 2-d quantum field theories on these surfaces, called worldsheets, with the fields taking values in some manifolds.
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Nov 28, 2021 · [Submitted on 28 Nov 2021] Mirror Symmetry, Born Geometry and String Theory. Per Berglund, Tristan Hübsch, Djordje Minic. All known string theory models may be obtained as partial fermionization, projection and background Ansätze from the original, purely bosonic string theory.
