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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 />

Simple deformation <strong>of</strong><br />

Σ is <strong>in</strong>f<strong>in</strong>ite strip<br />

w = x + iy,<br />

x ∈ [−∞, ∞]<br />

y ∈ [0, π]<br />

Half-BPS Janus solutions<br />

H = −iL s<strong>in</strong>h(w + ψ)+c.c.<br />

2 cosh θ +s<strong>in</strong>hθ cosh w<br />

A = ik + ib<br />

s<strong>in</strong>h w<br />

B =<br />

cosh(w + ψ)<br />

ik<br />

cosh ψ s<strong>in</strong>h w<br />

ĥ =<br />

cosh θ − s<strong>in</strong>h θ cosh w<br />

i + c.c.<br />

s<strong>in</strong>h w<br />

AdS 3 × S 3 with RR flux<br />

f 2 → 0<br />

π H → 0<br />

f 1 →∞<br />

H →∞<br />

0 x<br />

f 2 → 0<br />

H → 0<br />

f 1 →∞<br />

H →∞<br />

k, b SL(2,R) transformations<br />

L<br />

size <strong>of</strong> AdS<br />

θ, ψ deformation parameter

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