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Topological defects and generalised orbifolds ... - Nils Carqueville

Topological defects and generalised orbifolds ... - Nils Carqueville

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Generalised <strong>orbifolds</strong><br />

Theorem.<br />

A = X † ⊗ X is a symmetric Frobenius algebra for any 1-morphism X in B.<br />

If dim(X) is invertible (easy to check for B = LG) then:<br />

A = X † ⊗ X is a special symmetric Frobenius algebra.<br />

X ⊗A X † ∼ = I.<br />

X <strong>and</strong> X † are mutually inverse in Borb.<br />

<strong>Carqueville</strong>/Runkel 2012

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