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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
Apr 26, 2010 · String theory leads to many surprising, useful, and well-confirmed mathematical 'predictions' - here I focus on mirror symmetry. These predictions are made on the basis of general physical principles entering into string theory. The success of the mathematical predictions are then seen as evidence for framework that generated them.
Sep 1, 2011 · However, in non-perturbative Type IIB string theory, the conifold singularity is resolved by the effects of light D-brane states [32]. Furthermore, when it is mathematically possible to carry out a conifold transition to a new Calabi–Yau manifold, this manifests in the physics as a new branch of the low-energy moduli space [10] .
Sep 16, 2010 · The dominance of string theory in the research landscape of quantum gravity physics (despite any direct experimental evidence) can, I think, be justified in a variety of ways. Here I focus on an argument from mathematical fertility, broadly similar to Hilary Putnam’s ‘no miracles argument’ that, I argue, many string theorists in fact espouse in some form or other. String theory has ...
Since its discovery in the early 1990s, mirror symmetry, or more generally, string theory, has literally exploded onto the mathematical scene, encompassing many branches of mathematics and mathematical physics. It has pointed to deep connec-tions between many subjects previously thought unrelated, for instance, provoca-tively put, number theory ...
Dec 1, 2022 · 1. Introduction to Mirror Symmetry in Aspects of Topological. String Theory. Shu Chen. Department of Physics, Imperial College London, Lo ndon SW7 2AZ, UK. shu.chen19@imperial.ac.uk. Abstract ...
Overview of mirror symmetry 7 1. Enumerative mirror symmetry 7 1.1. Topological twists 8 1.2. Useful calculations 8 1.3. Homological mirror symmetry 9 1.4. Proving numerical mirror symmetry 9 1.5. Proving HMS 9 1.6. Modern state 9 1.7. Plan for the class 9 Chapter 1. Mirror symmetry for the quintic 10 1. The quintic threefold, its mirror, and ...
