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 />
Half-BPS Janus solutions<br />
What are the operators O 0 and T 0 ? N=(4,4) SCFT<br />
For simplicity consider (T 4 ) n /S n orbifold<br />
S = 1 <br />
d 2 z ∂X i,a ¯∂Xi,a + ψ i,a ¯∂ψi,a +<br />
4π<br />
¯ψ i,a ∂ ¯ψ<br />
<br />
i,a<br />
i,a<br />
O 0 (h, ¯h)<br />
<br />
=(1, 1) descendant <strong>of</strong> ψa i ¯ψ a j (h, ¯h) =(1/2, 1/2)<br />
lim<br />
z→w<br />
O 0 = ∂X i,a ¯∂Xi,a + fermions<br />
i,a<br />
T<br />
operator with vanish<strong>in</strong>g SU(2)xSU(2) R-symmetry<br />
0 (h, ¯h) =(1, 1)<br />
descendant <strong>of</strong> Z_2 twist field<br />
<br />
G 2 (z) ˜G 1† (¯z) − G 1† (z) ˜G 2† (¯z) Σ 1 2 , 1 2 (w, ¯w) =<br />
1<br />
(z − w)(¯z − ¯w) T 0 (w, ¯w)+···<br />
a
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