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--- blog:2024-12-05 [2024/12/06 06:35] – created pzhou
+++ blog:2024-12-05 [2024/12/06 06:53] (current) – pzhou
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 ====== 2024-12-05 ======
-What is that hemisphere partition function? Consider a gauged linear sigma model with superpotential, namely a reductive complex Lie group $G$ acting on $V$ preserving volume form and a superpotential $W: V \to \C$. Let $t \in (\gfrak^*)^G$ be the complexified GIT parameter.
+What is that hemisphere partition function? Consider a gauged linear sigma model with superpotential, namely a reductive complex Lie group $G$ acting on $V$ preserving volume form and a superpotential $W: V \to \C$. To get $\Z$-graded MF category, we choose certain non-negative $R$-charge (could be in $\Q$) so that $W$ has weight $2$.
+We consider the $G \times \R$-equivariant MF, call it $M$. In different GIT chamber, we get different contour deformation $Z(M;t)$.
+  * anything supported on the unstable loci has $Z=0$
+  * deep in the GIT chamber, anything converges.