Eric Sharpe - Examples of homological projective duality in physics
Eric Sharpe - Examples of homological projective duality in physics
Eric Sharpe - Examples of homological projective duality in physics
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GLSM for P 3 [2,2] (=T 2 ):<br />
Looks like a GIT quotient V//C ×<br />
where V = C 4 ⊕ C 2<br />
(φ i ) (p a )<br />
weight 1 weight -2<br />
Idea: φ i ~ homogeneous coord<strong>in</strong>ates on P 3<br />
p a count quadric hypersurfaces<br />
and there’s a superpotential:<br />
W = ∑ a<br />
p a Q a (φ) = ∑ ij<br />
φ i A ij (p)φ j