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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Global issues:<br />
Over each po<strong>in</strong>t <strong>of</strong> the base, we’ve picked an isotropic<br />
subspace U <strong>of</strong> the fibers, to def<strong>in</strong>e our ptlike MF’s.<br />
These choices can only be glued together up to an<br />
overall C* automorphism,<br />
so globally there is a C* gerbe.<br />
Physically this ambiguity corresponds to gauge<br />
transformation <strong>of</strong> the B field;<br />
hence, characteristic class <strong>of</strong> the B field<br />
should match that <strong>of</strong> the C* gerbe.