# mirror symmetry

## Definitions

• WordNet 3.6
• n mirror symmetry (physics) parity is conserved in a universe in which the laws of physics are the same in a right-handed system of coordinates as in a left-handed system
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## Usage

### In literature:

Your position, as seen in the mirror, is the highest type of symmetry as understood by modern architects.
"The Crown of Wild Olive" by John Ruskin
Your position, as seen in the mirror, is the highest type of symmetry as understood by modern architects.
"The Elements of Drawing" by John Ruskin
One-half is the mirror reflection of the other in this plane, which is called a plane of symmetry.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7" by Various
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### In news:

This hour of Radiolab, we set out in search of order and balance in the world around us, and ask how symmetry shapes our very existence - from the origins of the universe, to what we see when we look in the mirror.
SketchBook Designer's Symmetry tool can create perfect mirror copies or radial arrays of duplicated linework.
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### In science:

This resembles T-duality and Mirror symmetry in the sense that two different string theories on different backgrounds deﬁne the same theory.
Closed String Tachyons in Non-supersymmetric Heterotic Theories
Dijkgraaf, Mirror symmetry and el liptic curves, The Moduli Space of Curves, R.
The uses of random partitions
Previous work has shown that the pseudo-random algorithm applied to a one-species QCA chain, such that all qubits undergo the same rotations, yields operators with eigenvalue and eigenvector distributions appropriate for CUE-type operators with mirror symmetries .
Pseudo-random operators of the circular ensembles
Using this form of Z ′ , pseudo-random symplectic operators (with mirror symmetry if all coupling constants are equal) can be implemented on a one-specie QCA if there are an odd number of qubits.
Pseudo-random operators of the circular ensembles
However, the one-specie QCA operator distributions deviate from the random distributions due to mirror symmetry.
Pseudo-random operators of the circular ensembles
Orlov, “Vertex algebras, mirror symmetry, and D-branes: The case of complex tori,” Commun.
Geometry of D-branes for general N=(2,2) sigma models
Orlov, “Remarks on A-branes, mirror symmetry, and the Fukaya category,” arXiv:hep-th/0109098.
Geometry of D-branes for general N=(2,2) sigma models
Mirror symmetry is often thought of as relating the very different worlds of complex geometry and symplectic geometry.
Mirror Symmetry and Generalized Complex Manifolds
It is expected that Mirror Symmetry should give rise to an involution on sectors of the moduli space of all Generalized Complex Manifolds of a ﬁxed dimension.
Mirror Symmetry and Generalized Complex Manifolds
Mirror symmetry for generalized almost K¨ahler manifolds.
Mirror Symmetry and Generalized Complex Manifolds
Then we propose that the relationship between Y and bY is a special case of a potential generalization of the relationship between A− cycles and B− cycles in mirror symmetry (see e.g. and references therein).
Mirror Symmetry and Generalized Complex Manifolds
Understanding mirror symmetry in terms of a relationship between pure spinors was approached with similar techniques in .
Mirror Symmetry and Generalized Complex Manifolds
In other words the mirror symmetry transformation is a bijective correspondence between ∇-semi-ﬂat generalized complex structures on X and ∇∨ -semi-ﬂat generalized complex structures on bX .
Mirror Symmetry and Generalized Complex Manifolds
Recall that in the case of vector bundles we had for each ﬂat connection on V a (potentially) inequivalent mirror symmetry transformation.
Mirror Symmetry and Generalized Complex Manifolds
Each carries its own ﬂat connection and these Dirac structures are exchanged under mirror symmetry.
Mirror Symmetry and Generalized Complex Manifolds
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