Twisted $\mathcal{N}=1$ SCFTs and their AdS$_3$ duals

TL;DR

This paper explores the compactification of 4D $ abla=1$ SCFTs on Riemann surfaces, deriving 2D theories with $ abla=(0,2)$ supersymmetry and matching their properties across field theory, geometry, and holography.

Contribution

It introduces a comprehensive analysis of 4D $ abla=1$ SCFT compactifications, providing new AdS$_3$ duals and demonstrating consistency across multiple computational approaches.

Findings

Computed central charges and R-charges using three methods.

Established geometric dual formulation of c-extremization.

Constructed new AdS$_3$ duals for 2D theories.

Abstract

We study compactifications of an infinite family of four-dimensional $\mathcal{N}=1$ SCFTs on a Riemann surface in the presence of arbitrary background fluxes for global symmetries. The four-dimensional parent theories have holographic Sasaki-Einstein duals in type IIB string theory. We compute central charges and R-charges of baryonic operators in the resulting two-dimensional $\mathcal{N}=(0,2)$ theories in three distinct ways: from the field theory side utilizing c-extremization, its recently discovered geometric dual formulation, and holographically using new AdS$_3$ duals of two-dimensional field theories.