Spinors are mathematical objects used in physics and mathematics to describe the intrinsic angular momentum, or spin, of particles. Unlike traditional vectors, which have a clear direction in space, spinors can represent states that change when rotated in specific ways. They are essential in the study of quantum mechanics and relativity. In quantum field theory, spinors are particularly important for describing particles like electrons and neutrinos, which have half-integer spin values. They help in formulating the behavior of these particles under transformations, such as rotations and Lorentz transformations, making them crucial for understanding the fundamental aspects of particle physics.