Holographic description of interfaces in 2-d CFTs - Physics
Holographic description of interfaces in 2-d CFTs - Physics
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 />
Global regularity conditions<br />
At the boundary<br />
H → 0<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 + Ā)K − (B − ¯B)<br />
2<br />
K → 0<br />
(A + Ā)K − (B + ¯B)<br />
2 B + ¯B → 0<br />
A + Ā → 0<br />
A + Ā<br />
|B| 4<br />
All functions satisfy Dirichlet boundary conditions on ∂Σ<br />
K =(A + Ā) =(B + ¯B) =H = 0 on ∂Σ
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