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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 />

Global regularity conditions<br />

How does AdS 3 × S 3 with RR flux look like ?<br />

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

w = x + iy,<br />

x ∈ [−∞, ∞]<br />

y ∈ [0, π]<br />

f 1 →∞<br />

H →∞<br />

π<br />

f 2 → 0<br />

H → 0<br />

f 2 → 0<br />

0 x<br />

H → 0<br />

f 1 →∞<br />

H →∞<br />

f 2 1 = cosh 2 x, f 2 2 =s<strong>in</strong> 2 y, ρ =1, f 3 = const<br />

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

A = i<br />

1<br />

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

B = icosh(w) s<strong>in</strong>h w<br />

1<br />

s<strong>in</strong>h w + c.c.

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