Calabi-Yau manifold

A Calabi-Yau manifold is a special type of mathematical shape used in theoretical physics and geometry, particularly in string theory. Imagine a complex, multi-dimensional space that can wrap and twist in ways that our usual three dimensions cannot easily represent. These shapes are important because they can allow for the existence of hidden dimensions in the universe, potentially influencing the fundamental properties of particles. In essence, Calabi-Yau manifolds provide a framework for understanding how the universe might work at the smallest scales, linking geometry with physical theories.