Holographic description of interfaces in 2-d CFTs - Physics

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Holographic duals of 2d interface theories M. Gutperle UCLA Half-BPS Janus solutions What are the operators O 0 and T 0 ? N=(4,4) SCFT For simplicity consider (T 4 ) n /S n orbifold S = 1 d 2 z ∂X i,a ¯∂Xi,a + ψ i,a ¯∂ψi,a + 4π ¯ψ i,a ∂ ¯ψ i,a i,a O 0 (h, ¯h) =(1, 1) descendant of ψa i ¯ψ a j (h, ¯h) =(1/2, 1/2) lim z→w O 0 = ∂X i,a ¯∂Xi,a + fermions i,a T operator with vanishing SU(2)xSU(2) R-symmetry 0 (h, ¯h) =(1, 1) descendant of Z_2 twist field G 2 (z) ˜G 1† (¯z) − G 1† (z) ˜G 2† (¯z) Σ 1 2 , 1 2 (w, ¯w) = 1 (z − w)(¯z − ¯w) T 0 (w, ¯w)+··· a
Holographic duals of 2d interface theories M. Gutperle UCLA Multi-Janus solutions Generalization of half-BPS Janus solution to an arbitary number of asymptotic regions: map strip to upper half plane u = e w Asymptotic regions are mapped to u =0,u= ∞ Harmonic function H singularity is a simple pole at u =0 c0 H = i u − c 0 +reg ū Works for A,K as well. Superimpose simple poles and solve for regularity condition Constraints on parameters
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Holographic description of interfaces in 2-d CFTs - Physics

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