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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 />

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

3 form AST can be written as a total derivative<br />

where<br />

b (2) = −i<br />

5-brane Page-charges supported on various three spheres<br />

q NS5 =<br />

<br />

f 2 2 ρe −Φ Re(g (2)<br />

z )=∂ w b (2)<br />

f 2 2 ρe Φ Im(g (2)<br />

z )+χf 2 2 ρe −Φ Re(g (2)<br />

z )=∂ w c (2)<br />

H(B − ¯B)<br />

(A + Ā)ĥ − (B − ¯B) + ˜h 1 , ˜h1 = 1 2 2i<br />

c (2) H(A<br />

= −<br />

¯B + ĀB)<br />

(A + Ā)ĥ − (B − ¯B) + h 2, h 2 = 1 <br />

2 2<br />

S 3 e −Φ Re(G), q D5 =<br />

<br />

<br />

∂w H<br />

B<br />

+ c.c.<br />

A<br />

B ∂ wH + c.c.<br />

S 3 <br />

e +Φ Im(G)+χe −Φ Re(G) <br />

similar expressions exist for D1 brane and fundamental str<strong>in</strong>gs charges

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