Holographic description of interfaces in 2-d CFTs - Physics

Holographic duals of 2d interface theories
M. Gutperle UCLA
Local solution of BPS-equations
Susy variation of dilatino and gravitino vanishes for unbroken susy
δλ = i(Γ · P )B −1 ε ∗ − i (Γ · G)ε
24
δψ M = D µ ε + i
480 (Γ · F (5))Γ µ ε − 1
96 (Γ µ(Γ · G) + 2(Γ · G)Γ µ ) B −1 ε ∗
Expand
in terms of Killing spinors on AdS 2 × S 2 × K 3
= η 1 ,η 2
χ η1 ,η 2 ,η 3
⊗ ξ η1 ,η 2 ,η 3
2 dim spinors on Σ
Use discrete symmetries of the equation to reduce BPS equations to a
single 2 dim spinor ξ
Solution of reduced BPS equations give 8 unbroken susys