Topological defects and generalised orbifolds ... - Nils Carqueville
Topological defects and generalised orbifolds ... - Nils Carqueville
Topological defects and generalised orbifolds ... - Nils Carqueville
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Generalised <strong>orbifolds</strong><br />
Theorem. Let X ∈ LG(W, V ) have invertible quantum dimensions.<br />
A = X † ⊗ X is a special symmetric Frobenius algebra in LG(W, W ).<br />
Everything about theory V can be recovered from A:<br />
◮ LG(0, V ) ∼ = mod(A) (boundary sector)<br />
◮ LG(V, V ) ∼ = bimod(A) (defect sector)<br />
Idea. Introducing X-bubbles in V -correlator is scaling by dim(X).<br />
Blowing up all X-bubbles produces W -correlator with A-defect network.<br />
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<strong>Carqueville</strong>/Runkel 2012<br />
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