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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 />

Half-BPS Janus solutions<br />

holographic <strong>in</strong>terpretation: Two comb<strong>in</strong>ations <strong>of</strong> massless scalars<br />

e −2Φ f 4 3 and χ − k 2 C K<br />

coupl<strong>in</strong>g constant <strong>of</strong> 2d CFT ( α ) blowup mode <strong>of</strong> orbifold<br />

dual to ∆ =2operator<br />

O 0 dual to ∆ =2operator<br />

T 0<br />

Take different values <strong>in</strong> the two asymptotic regions<br />

φ = φ 0 − + φ 1 −(y)e x + ... for x → −∞<br />

φ = φ 0 + + φ 1 +(y)e −x + ... for x →∞<br />

In the dual 2dim CFT, the operators are added which jump<br />

across a 1dim <strong>in</strong>terface:<br />

L 1 = L 0 + Θ(x ⊥ )c 1 O 0 + Θ(x ⊥ )c 2 T 0

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