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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 />

axion/dilaton: e 4Φ = 1 4<br />

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

2<br />

(B + ¯B)<br />

A + Ā −<br />

A +<br />

K<br />

χ = 1 B 2 − ¯B 2 <br />

− A +<br />

2i K Ā<br />

Ā −<br />

(B − ¯B)<br />

2<br />

K<br />

<br />

metric:<br />

f 2 1 = ce−2Φ<br />

2f 2 3<br />

f 2 2 = ce−2Φ<br />

2f 2 3<br />

|H|<br />

K<br />

|H|<br />

K<br />

f3 4 = 4c 2 e2Φ K<br />

A + Ā<br />

ρ 4 = e 2Φ K |∂ wH| 4<br />

H 2<br />

(A +<br />

(A +<br />

A + Ā<br />

|B| 4<br />

Ā)K − (B − ¯B)<br />

2<br />

Ā)K − (B + ¯B)<br />

2

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