Mirror symmetry (string theory)
Mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. In a viable model of particle physics, the compact extra dimensions must be shaped like a Calabi-Yau manifold, which is typically six-dimensional. In the late 1980s, Lance Dixon, Wolfgang Cumche, and Nick Warner noticed that given a compactification of string V, it is not possible to reconstruct uniquely a Calabi– Yau manifold.
About Mirror symmetry (string theory) in brief
Mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. 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. Mathematicians are working to develop a mathematical understanding of the relationship based on physicists’ intuition. Mirror symmetry is also a fundamental tool for doing calculations in string theory, and it has been used to understand aspects of quantum field theory, the formalism that physicists use to describe elementary particles. In a viable model of particle physics, the compact extra dimensions must be shaped like a Calabi-Yau manifold, which is typically six-dimensional in applications toString theory. After many years of studying these extra dimensions, physicists began studying them as a way to compactify them. In this situation, two different types of string Theory are called mirror symmetry magnets and the mirror symbolic moids are called the mirror yau manifold and the mirror symmetry type IIA Magnets. In the late 1980s, Lance Dixon, Wolfgang Cumche, and Nick Warner noticed that given a compactification of string V, it is not possible to reconstruct uniquely a Calabi– Yau manifold. This gave rise to the rise of string IIA and string IIB theory, both of which can be completely compactified on the same Mannifolds giving rise to a completely different type of physics called string theory IIB.
The two types of physics are completely different and give rise to two different versions of the string theory called string IIB and string IB, which are completely compactified on different m Mannifolds, giving rise to the same type of particle physics and string theory IIA. In string theory the strings represent particles observed in high energy physics experiments. For such a model to be consistent with observations, its spacetime must be four-dimensional at the relevant distance scales, so one must look for ways to restrict the extra dimensions to smaller scales. In most realistic models of physics based on string theory this is accomplished by a process called compactification. Compactification can be used to construct models in which spacetime is effectivelyFour-dimensional. In everyday life, there are three familiar dimensions of space, and there is one dimension of time. Thus, in the language of modern physics, one says that Spacetime is four- dimensional. There are notable differences between the world described by string theory and the everyday world. For example, an ant crawling on the surface of the hose would move in two dimensions. However, not every way of compactifying the extra dimension produces a model with the right properties to describe nature. In the limit where these curled up dimensions become very small, one obtains a theory in which Spacetime has effectively a lower number of dimensions.
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