Holographic description of interfaces in 2-d CFTs - Physics

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$1 Ch. 22 â Reflection and Refraction of Light 22.1 The ... - Physics$

Holographic duals of 2d interface theories M. Gutperle UCLA Global regularity conditions Using the explicit expressions for the metric factors one can show that the following conditions guarantee a globally regular solutions R1: A + Ā, B + ¯B,K have common singularities R2: No singularities in the bulk of Σ R3: The harmonic functions A + Ā, B + ¯B,Kcannot have any zeros in the bulk of Σ R4: The holomorphic function B und ∂ u H have common zeros R5: The harmonic functions satisfy the inequality: (A + Ā)K − (B + ¯B) 2 > 0
Holographic duals of 2d interface theories M. Gutperle UCLA Simple deformation of Σ is infinite strip w = x + iy, x ∈ [−∞, ∞] y ∈ [0, π] Half-BPS Janus solutions H = −iL sinh(w + ψ)+c.c. 2 cosh θ +sinhθ cosh w A = ik + ib sinh w B = cosh(w + ψ) ik cosh ψ sinh w ĥ = cosh θ − sinh θ cosh w i + c.c. sinh w AdS 3 × S 3 with RR flux f 2 → 0 π H → 0 f 1 →∞ H →∞ 0 x f 2 → 0 H → 0 f 1 →∞ H →∞ k, b SL(2,R) transformations L size of AdS θ, ψ deformation parameter
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Holographic description of interfaces in 2-d CFTs - Physics

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