Two-dimensional SCFTs from D3-branes

TL;DR

This paper constructs a new class of two-dimensional $ olinebreak(0,2)$ SCFTs from four-dimensional quiver gauge theories compactified on Riemann surfaces, and finds their gravitational duals as explicit AdS$_3$ solutions in IIB supergravity.

Contribution

It introduces a systematic method to derive 2D SCFTs from 4D theories via compactification and anomaly analysis, revealing new AdS$_3$ solutions and a universal anomaly relation.

Findings

New AdS$_3$ solutions in IIB supergravity as duals.

Universal relation between 4D and 2D conformal anomalies.

Observation of R-symmetry mixing with baryonic symmetries during RG flow.

Abstract

We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The gravitational duals to these fixed points are new AdS$_3$ solutions of IIB supergravity which we exhibit explicitly. Along the way we uncover a universal relation between the conformal anomaly coefficients of four-dimensional and two-dimensional SCFTs connected by an RG flow across dimensions. We also observe an interesting novel phenomenon in which the superconformal R-symmetry mixes with baryonic symmetries along the RG flow.