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 />
Introduction<br />
Janus solution: holographic <strong>description</strong> <strong>of</strong> a codimenion 1 conformal<br />
<strong>in</strong>terface <strong>in</strong> preserve SO(2,d-1) <strong>of</strong> SO(2,4) symmetry: Use<br />
slicl<strong>in</strong>g <strong>of</strong><br />
AdS d<br />
AdS d+1<br />
AdS d+1<br />
ds 2 = dx 2 + f(x)ds 2 AdS d<br />
φ = φ(x)<br />
as x → ±∞<br />
(asymptotic AdS region)<br />
lim<br />
x→±∞ ds2 = dx 2 + e2|x|<br />
z 2<br />
In Po<strong>in</strong>care coord<strong>in</strong>ates the spatial<br />
section <strong>of</strong> the boundary consists <strong>of</strong><br />
two three dimensional half planes<br />
jo<strong>in</strong>ed by a two dimensional <strong>in</strong>terface.<br />
<br />
− dt 2 + dx 2 1 + ···+ dx 2 d−2 + dz 2<br />
x<br />
z =0<br />
x → −∞ x → +∞
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