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Holographic description of interfaces in 2-d CFTs - Physics

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<strong>Holographic</strong> duals <strong>of</strong> 2d <strong>in</strong>terface theories<br />

M. Gutperle UCLA<br />

self dual five form AST is given by<br />

Local solution <strong>of</strong> BPS-equations<br />

f 4 3 ρ˜h z = ∂ w C K , C K = i 2<br />

B 2 − ¯B 2<br />

A + Ā<br />

+ 1 2 ˜K<br />

Where ˜K is the conjugate harmonic function, i.e.<br />

K(z, ¯z) =k(z)+¯k(¯z), ˜K(z, ¯z) =−i<br />

k(z) − ¯k(¯z)<br />

<br />

D3-brane charge:<br />

<br />

C×K 3 F 5 =<br />

<br />

dzf 4 3 ρ˜h z + cc

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