The Pfaffian-Grassmannian derived equivalence
The Pfaffian-Grassmannian derived equivalence
We argue that there exists a derived equivalence between Calabiā€“Yau threefolds obtained by taking dual hyperplane sections (of the appropriate codimension) of the Grassmannian <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper G left-parenthesis 2 comma 7 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="bold">G</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>7</mml:mn> <mml:mo stretchy="false">)</mml:mo> ā€¦