How many Calabi-Yau manifolds are there?

How many Calabi-Yau manifolds are there?

What’s more, there are many different 6D Calabi-Yau manifolds that could fit the string theory bill and, disappointingly, no-one was able to work out which was the “right” one. All this somewhat undermined the manifolds’ standing in physics.

Are Calabi-Yau manifolds compact?

Definitions. A Calabi–Yau n-fold or Calabi–Yau manifold of (complex) dimension n is sometimes defined as a compact n-dimensional Kähler manifold M satisfying one of the following equivalent conditions: The canonical bundle of M is trivial. M has a holomorphic n-form that vanishes nowhere.

What is mirror symmetry of Calabi-Yau manifolds in string theory?

In algebraic geometry and theoretical physics, 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.

Why is Shing Tung Yau famous?

Yau is a Harvard math professor, best known for inventing the mathematical structures known as Calabi-Yau spaces that underlie string theory, the supposed “theory of everything.” In 1982 he won a Fields Medal, the mathematics equivalent of a Nobel Prize.

What does the M in M theory stand for?

M-theory is a theory in physics that unifies all consistent versions of superstring theory. According to Witten, M should stand for “magic”, “mystery” or “membrane” according to taste, and the true meaning of the title should be decided when a more fundamental formulation of the theory is known.

What is mirror symmetry called?

Mirror symmetry is sometimes called bilateral symmetry. Most animals are very nearly bilaterally symmetric.

What is the meaning of mirror symmetry?

noun. symmetry about a plane (mirror plane) that divides the object or system into two mutual mirror images.

Is Yau a Chinese name?

Yau is a surname. It is a romanisation of multiple surnames in Hong Kong as well as other Cantonese speaking regions, based on different varieties of Chinese, as well as a surname in other cultures.

Where was Shing Tung Yau born?

Shantou, China
Shing-Tung Yau/Place of birth