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

A/2 model
g ij ∂φ i ∂φ j + ih ab
λ b − D zλ a − + ig ijψ j + D zψ i + + F ijab ψi + ψj + λa − λb −
Fermions:
λ a − ∈ Γ(φ∗ E) ψ+ i ∈ Γ(K ⊗ φ∗ T 1,0 X)
λ b − ∈ Γ(K ⊗ φ∗ E) ψ+ ı ∈ Γ((φ∗ T 1,0 X) ∨ )
Constraints:
Λ top E ∨ ∼ = K X , ch 2 (E) = ch 2 (T X)
States:
O ∼ b ı1···ı n a 1···a p
ψ ı 1
+ · · · ψ ı n
+ λ a 1
− · · · λa p
− ↔ Hn (X, Λ p E ∨ )
When E = T X, reduces to the A model,
since H q (X, Λ p (T X) ∨ ) = H p,q (X)