Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons, and Mirror Symmetry
Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons, and Mirror Symmetry
We address the issue of why Calabi-Yau manifolds exist with a mirror pair. We observe that the irreducible spinor representation of the Lorentz group <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mtext>Spin</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> requires us to consider the vector spaces of two forms and four forms on an equal footing. The doubling of …