nevertheless equivalent when employed as extra dimensions of string theory. Early cases of mirror symmetry were discovered by physicists. Mathematicians became...

mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory. In an address to the 1994 International Congress...

Mirror symmetry may refer to: Mirror symmetry (string theory), a relation between two Calabi–Yau manifolds in string theory Homological mirror symmetry...

Space: String Theory and the Geometry of the Universe's Hidden Dimensions. Basic Books. ISBN 978-0-465-02023-2. Zaslow, Eric (2008). "Mirror Symmetry". In...

§ Science: Physics Mirror symmetry (string theory) Montonen–Olive duality Mysterious duality String duality, a class of symmetries S-duality T-duality...

consequences. The Calabi–Yau manifolds used in string theory are of interest in pure mathematics, and mirror symmetry allows mathematicians to solve problems...

Toric variety Homological mirror symmetry Mirror symmetry (string theory) Batyrev, V. (1994). "Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces...

theory. Edward Witten first conjectured the existence of such a theory at a string theory conference at the University of Southern California in 1995. Witten's...

'Superstring theory' is a shorthand for supersymmetric string theory because unlike bosonic string theory, it is the version of string theory that accounts...

In mathematics, mirror symmetry is a conjectural relationship between certain Calabi–Yau manifolds and a constructed "mirror manifold". The conjecture...

Model unified at high energies? By which symmetry is this unification governed? Can the Grand Unification Theory explain the number of fermion generations...

quantum field theory with a Hermitian Hamiltonian must have CPT symmetry. In layman terms, this stipulates that an antimatter, mirrored, and time reversed...

in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in...

field theories as models. In string theories, since a string can be decomposed into an infinite number of particle fields, the symmetries on the string world...

physics, type II string theory is a unified term that includes both type IIA strings and type IIB strings theories. Type II string theory accounts for two...

its effects. String theory M-theory Mirror symmetry Calabi–Yau space Brändle, Matthias; Lukas, André (2003). "Flop transitions in M-theory cosmology"....

David R. (1994). "Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory". Nuclear Physics B. 416 (2): 414. arXiv:hep-th/9309097...

String duality is a class of symmetries in physics that link different string theories, theories which assume that the fundamental building blocks of the...

In physics, a string is a physical entity postulated in string theory and related subjects. Unlike elementary particles, which are zero-dimensional or...

spontaneous symmetry breaking can be observed only in infinite dimensional theories, as quantum field theories. By definition, spontaneous symmetry breaking...

dimensions like the obligatory gauge symmetry in type I and heterotic string theories, and obtained in type II string theory by compactification on certain...

context of string theory. One reason that physicists explored supersymmetry is because it offers an extension to the more familiar symmetries of quantum...

The history of string theory spans several decades of intense research including two superstring revolutions. Through the combined efforts of many researchers...

realization of mirror symmetry. In string theory, mirror symmetry relates type IIA and type IIB theories. It predicts that the effective field theory of type...

field theory Sathiapalan 1987. Seiberg 2006. Sathiapalan 1987. Other dualities that arise in string theory are S-duality, U-duality, mirror symmetry, and...

duality) is an equivalence of two physical theories, which may be either quantum field theories or string theories. S-duality is useful for doing calculations...

calculations in topological string theory are closely related to Chern–Simons theory, Gromov–Witten invariants, mirror symmetry, geometric Langlands Program...

string theory Type IIB string theory Heterotic string N=2 superstring M-theory Matrix theory Introduction to M-theory F-theory String field theory Matrix...

In theoretical physics, 3D mirror symmetry is a version of mirror symmetry in 3-dimensional gauge theories with N=4 supersymmetry, or 8 supercharges....

In theoretical physics, type I string theory is one of five consistent supersymmetric string theories in ten dimensions. It is the only one whose strings...