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In 2D, bosons and fermions don't exist.
In physics, bosons have integer spin, and spinor fermions have half-integer spin. But why? The answer comes from representation theory and abstract algebra. The special unitary group SU(2) is the universal cover of rotations in 3D space, SO(3). This gives us two types of quantum mechanics statistics: bosons and fermions. But in 2D, the ...
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