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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Let’s work through this <strong>in</strong> more detail.<br />
For a U(1) gauge theory,<br />
Z = ∑ m∈Z<br />
e −iθm ∫ ∞<br />
−∞<br />
dσ<br />
2π e−4πirσ ∏ i<br />
Z Φ,i<br />
where<br />
Z Φ =<br />
Γ(Q/2 − Q(iσ + m/2))<br />
Γ(1 − Q/2 + Q(iσ − m/2))<br />
Q<br />
= gauge U(1) charge<br />
Q def<strong>in</strong>es hol’ Kill<strong>in</strong>g vector that<br />
comb<strong>in</strong>es with U(1) R