F-Theory and AdS_3/CFT_2

F-Theory and AdS_3/CFT_2

We construct supersymmetric AdS3 solutions in F-theory, that is Type IIB
supergravity with varying axio-dilaton, which are holographically dual to 2d N = (0, 4)
superconformal field theories with small superconformal algebra. In F-theory these arise
from D3-branes wrapped on curves in the base of an elliptically fibered Calabi-Yau threefold
Y3 and correspond to self-dual strings in the 6d N = (1, 0) theory obtained from F-theory
on Y3. The non-trivial fibration over the wrapped curves implies a varying coupling of the
N = 4 Super-Yang-Mills theory on the D3-branes. We compute the holographic central
charges and show that these agree with the field theory and with the anomalies of self-dual
strings in 6d. We complement our analysis with a discussion of the dual M-theory solutions
and a comparison of the central charges.