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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 />

gravit<strong>in</strong>o K3:<br />

gravit<strong>in</strong>o Σ:<br />

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

2D z f 3<br />

β +2h z β +<br />

f 3<br />

2D z f 3<br />

α ∗ − 2h z α ∗ +<br />

f 3<br />

1<br />

4 g(1) z<br />

1 4ḡ(1)<br />

z<br />

<br />

D z + i 2 ω z − iq <br />

z<br />

2 + h z α − 1 4<br />

<br />

D z − i 2 ω z − iq <br />

z<br />

β − 1 2 8<br />

<br />

D z − i 2 ω z + iq <br />

z<br />

α ∗ − 1 2 8<br />

<br />

D z + i 2 ω z + iq <br />

z<br />

2 − h z β ∗ − 1 4<br />

+ i 1 4 g(2) z<br />

+ i 1 4ḡ(2)<br />

z<br />

<br />

α ∗ =0<br />

<br />

β =0<br />

<br />

g z (1) − ig z<br />

(2)<br />

<br />

<br />

g z (1) + ig z<br />

(2)<br />

<br />

ḡ z (1) + iḡ z<br />

(2)<br />

α ∗ =0<br />

<br />

β =0<br />

<br />

ḡ z (1) − iḡ z<br />

(2)<br />

β ∗ =0<br />

<br />

α =0

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