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 />
c B,i =<br />
Multi-Janus solutions<br />
The other two functions are completely determ<strong>in</strong>ed by regularity<br />
R1 and R4: holomorphic B has zeros <strong>of</strong><br />
R1 R2 and R4: K is determ<strong>in</strong>ed<br />
2n−2<br />
ĉ i<br />
K = i<br />
+ c.c.<br />
u − x A,i<br />
where<br />
i=1<br />
B =<br />
lim (u − x A,i )B(u)<br />
u→x A,i<br />
∂ u H<br />
n−1<br />
i=1 (u − x H,i) 2<br />
∂ uH<br />
2n−2<br />
i=1 (u − x A,i)<br />
It can shown that with these choices<br />
dilaton, metric factors are real (R5 is<br />
automatically satisfied)<br />
ĉ i = c2 B,i<br />
c A,i<br />
and poles <strong>of</strong> A<br />
(A + Ā)ĥ − (B + ¯B) 2 > 0
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