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An Introduction to Quantum Sheaf Cohomology - Physics - Virginia ...

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Example:<br />

NLSM on {G = 0} ⊂ W P 4 w 1 ,···,w 5<br />

with bundle<br />

E ′<br />

given by<br />

G ∈ Γ(O(d))<br />

0 −→ E ′ −→ ⊕O(n a ) −→ O(m) −→ 0<br />

is described (upstairs in RG) by a LG model on<br />

X = Tot<br />

(<br />

O(−m)<br />

π<br />

−→ W P 4)<br />

with bundle 0 −→ π ∗ O(d) −→ E −→ ⊕π ∗ O(n a ) −→ 0<br />

and is related <strong>to</strong> LG on<br />

Tot (⊕O(−w i ) −→ BZ m ) = [C 5 /Z m ]<br />

with ~ same bundle.

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