Holographic description of interfaces in 2-d CFTs - Physics

Holographic duals of 2d interface theories
M. Gutperle UCLA
Local solution of BPS-equations
α
Spinor ξ =
β
BPS equations become
dilatino: 4P z α ∗ − g z (1) + ig z
(2) β =0 4¯P z β −
ḡ z (1) + i ḡ z
(2) α ∗ =0
gravitino AdS:
gravitino sphere:
1
α + 2D zf 1
β − 2h z β −
f 1 f 1
1
β ∗ − 2D zf 1
α ∗ − 2h z α ∗ +
f 1 f 1
ν
α + 2D zf 2
β − 2h z β +
f 2 f 2
ν
β ∗ + 2D zf 2
α ∗ +2h z α ∗ +
f 2 f 2
3
4 g(1) z
1
4 g(1) z
3 4ḡ(1)
z
1 4ḡ(1)
z
− i 4 g(2) z
− i 4ḡ(2)
z
− i 3 4 g(2) z
− i 3 4ḡ(2)
z
α ∗ =0
β =0
α ∗ =0
β =0