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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.
Jan 4, 2024 · This quiz is designed to challenge and expand your understanding of one of the most fascinating concepts in string theory - mirror symmetry. Dive deep into the cosmos as you explore the relationships between different Calabi-Yau manifolds and understand how mirror symmetry transforms our perspective on the fundamental nature of the universe.
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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The mirror Riemann surfaces that arize in this way generalize the classical A-polynomial of the knot. Setting Q=1 the mirror Riemann surface contains the SL(2,C) character variety as a factor. This is a consequence of the analytic continuation that relates SU(N) and SL(N,C) Chern-Simons theory, and the fact that, at any finite N Q=e!N"#1
Mar 1, 2020 · In: 2020, Ursula Whitcher. Tagged: Higgs boson, mirror symmetry, string theory, T-duality. From Strings to Mirrors. To tell you where mirror symmetry came from, I have to tell you about string theory. And to do that, I have to tell you why you should care about string theory in the first place.
Mirror Symmetry Cumrun Vafa and Eric Zaslow, Editors 1 AMS CMI www.ams.org www.claymath.org Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the
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 genus amplitudes of topological string theory expressed as polynomials is reviewed. 1
