Anomalies of (0,4) SCFTs from F-theory

TL;DR

This paper investigates 2d (0,4) superconformal field theories from F-theory, focusing on anomaly calculations via dimensional reduction and one-loop effects, revealing new insights into their macroscopic properties.

Contribution

It introduces a method to compute anomaly coefficients of 2d (0,4) SCFTs from F-theory by analyzing Chern-Simons terms in 3d after reduction from 6d supergravity.

Findings

Computed anomaly coefficients for 2d SCFTs from F-theory.

Identified the role of one-loop induced Chern-Simons terms.

Connected anomaly calculations to geometric data of elliptic Calabi-Yau threefolds.

Abstract

We study the macroscopics of 2d $\mathcal{N}=(0,4)$ SCFTs arising from F-theory constructions. The class of 2d SCFTs we consider live on black strings which are obtained by wrapping D3-branes on a curve in the base of a possibly singular elliptically fibered Calabi-Yau threefold. In addition, we allow the D3-branes to probe ALE or ALF spaces transversely. We compute anomaly coefficients of these SCFTs by determining Chern-Simons terms in the 3d action resulting from the reduction of 6d $\mathcal{N}=(1,0)$ supergravity on the compact space surrounding the black string. Essential contributions to these coefficients are from one-loop induced Chern-Simons terms arising from integrating out massive Kaluza-Klein modes.