F-theory and AdS_3/CFT_2

TL;DR

This paper constructs supersymmetric AdS_3 solutions in F-theory, revealing dual 2d N=(0,4) SCFTs, and verifies their consistency through holographic central charges and anomaly matching with 6d theories.

Contribution

It provides explicit F-theory AdS_3 solutions dual to 2d SCFTs from wrapped D3-branes, including calculations of central charges and anomaly checks.

Findings

Holographic central charges match field theory predictions.

Solutions correspond to D3-branes on curves in elliptic Calabi-Yau threefolds.

Anomaly analysis confirms the duality and consistency of the solutions.

Abstract

We construct supersymmetric AdS_3 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 Y_3 and correspond to strings in the 6d N=(1,0) theory obtained from F-theory on Y_3. 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.